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By rearranging the digits the answer is 123.
By rearranging the digits, it is 9861.
257 is the smallest integer that can be obtained by rearranging the digits. Of course, -5^72 = -2.12*10^50 is a very negative number and so is very, very small.
To give the particular number the largest possible value, arrange the digits in the order of their individual value, beginning with the largest one on the left and smallest on the right. To give the particular number its smallest possible value, arrange the digits in the order of their individual value, beginning with the smallest one on the left and largest on the right.
The answer to the smallest possible value of the sum of all the digits is 1. the number can either be 100 or 1000 - either way the sum is still one.