It can be done. First, it depends on which state your business is located in. I, personally, wouldn't recommend such a move. It is almost always better to charter or organize a business entity in the state in which the office is located. Usually a no brainer, but I thought I'd mention it.
Most states fall in around that figure.
It is also worth mentioning that LLCs seem to be consistently higher to register, some substantially so. The absolute best place to get info online, however, is your state's department in charge of corporations. This varies by state, but is usually the Department of State. You'll also want to check with your state's Department of Revenue, because they usually have a section on the very questions you've asked, as well as copies of their required forms. Most states also have a Business Development or similar division.