1057982 is divisible by 11.
False
A number is divisible by 11 if the difference of the sum of its digits in odd places from the right side and sum of its digits in even places from the right side is divisible by 11.
Consider the number 1057982
Sum of the digits in odd places from the right side = 2 + 9 + 5 + 1 = 17
Sum of digits in even places from the right side = 8 + 7 + 0 = 15
Difference of the two sums = 17 - 15 = 2, which is not divisible by 11.
Therefore, 1057982 is not divisible by 11.