120
when you want to know something like that you multiply the digits together
Ex.
12345-1 times 2 times 3 times 4 times 5=120
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The first five whole numbers are: 01234. The first five natural numbers are: 12345.
Five numbers can be arranged in 5! = 120 ways.
There are 252 of them.
It is difficult to interpret exactly what you are trying to ask. If you allow your five digit number to have leading zeroes and do not allow negative numbers, then 00000 - 99999 = -99999 is the smallest number. If you do allow negative 5 digit numbers, then (-99999) - 99999 = -199998 is the smallest number.