That's a great question and as usual, there are no correct answers.
We know the SS he used to file his tax returns has a Connecticut connection, a location that he never resided in.
OR the ZIP code in the area of Honolulu where Barack Obama lived at the time he applied for his Social Security number in 1977 is 96814, while the ZIP code for Danbury, Connecticut, is 06814 so it could simply be a typo!
BUT since we know the birth registration posted by him was fake and his Selective Service registration was fake, the odds are that his SS number is also fake.
I "think" this is a good possible explanation!
The SSN problem is also related to the question of Obama's birth certificate, which is required to get a SSN.
Lacking a valid birth certificate, Obama was probably forced to buy an SSN so he could get his first job at the Baskin Robbins in 1977. In this theory, Obama bought an SSN that was Connecticut-based so it couldn't be traced back to the Hawaii office.
