A humeral implant component for use in a reverse total shoulder arthroplasty, comprising: a stem that includes a stem portion extending toward a distal end of the stem and a separable head portion that is joined to the stem portion so as to provide an enlarged head portion at a proximal end of the stem, said enlarged head portion including an internal cavity in which an articulating liner can be received and engaged with the enlarged head portion, said internal cavity including a first, relatively larger diameter portion and an annular rib element that projects into the internal cavity from said first diameter portion, and a second, relatively smaller diameter portion defining a tapered bore; and an articulating liner, which is receivable in said internal cavity and is removably secured to the enlarged head portion, said articulating liner being substantially wedge-shaped with an annular lower surface opposite an annular upper surface and with a concave articulating surface extending from said annular upper surface for articulating against a convex surface of a glenoid component, said annular lower surface and said annular upper surface defining an angle γ therebetween in a medial/lateral plane, said annular upper surface defining an angle β with respect to a longitudinal axis (L 1) of said stem portion, said angle β being between 55 degrees and 70 degrees, said enlarged head portion including an outer rim with a substantially flat surface that defines an angle α with respect to said longitudinal axis (L 1) of said stem portion, said angle α being between 35 degrees and 55 degrees, wherein the articulating liner includes an engagement structure disposed around the distal end of the articulating liner, said engagement structure configured to extend into the first diameter portion of the internal cavity behind said annular rib element so as to engage said annular rib element for axially securing the articulating liner to the enlarged head portion. a stem that includes a stem portion extending toward a distal end of the stem and a separable head portion that is joined to the stem portion so as to provide an enlarged head portion at a proximal end of the stem, said enlarged head portion including an internal cavity in which an articulating liner can be received and engaged with the enlarged head portion, said internal cavity including a first, relatively larger diameter portion and an annular rib element that projects into the internal cavity from said first diameter portion, and a second, relatively smaller diameter portion defining a tapered bore; and an articulating liner, which is receivable in said internal cavity and is removably secured to the enlarged head portion, said articulating liner being substantially wedge-shaped with an annular lower surface opposite an annular upper surface and with a concave articulating surface extending from said annular upper surface for articulating against a convex surface of a glenoid component, said annular lower surface and said annular upper surface defining an angle γ therebetween in a medial/lateral plane, said annular upper surface defining an angle β with respect to a longitudinal axis (L 1) of said stem portion, said angle β being between 55 degrees and 70 degrees, said enlarged head portion including an outer rim with a substantially flat surface that defines an angle α with respect to said longitudinal axis (L 1) of said stem portion, said angle α being between 35 degrees and 55 degrees, wherein the articulating liner includes an engagement structure disposed around the distal end of the articulating liner, said engagement structure configured to extend into the first diameter portion of the internal cavity behind said annular rib element so as to engage said annular rib element for axially securing the articulating liner to the enlarged head portion.