What is the smallest integer with exactly 100 factors?

Include 1 and integer as two of the factors.

This is not a homework problem. I just feel like giving 10 points to some deserving soul.
Update: Don't worry, Scott, you're getting the points. My question certainly doesn't imply only prime factors, first because I didn't say "prime factors" and secondly because I said the integer is one of the factors. So there! :)
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