1057100682 has 128 divisors (see below), whose sum is σ = 2548039680. Its totient is φ = 288792000.

The previous prime is 1057100669. The next prime is 1057100687. The reversal of 1057100682 is 2860017501.

It is a super-2 number, since 2×1057100682² = 2234923703769730248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057100687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2759863 + ... + 2760245.

It is an arithmetic number, because the mean of its divisors is an integer number (19906560).

Almost surely, 2^1057100682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057100682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274019840).

1057100682 is an abundant number, since it is smaller than the sum of its proper divisors (1490938998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1057100682 is a wasteful number, since it uses less digits than its factorization.

1057100682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520.

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 1057100682 is about 32513.0847813615. The cubic root of 1057100682 is about 1018.6823566464.

The spelling of 1057100682 in words is "one billion, fifty-seven million, one hundred thousand, six hundred eighty-two".