1057056700 has 72 divisors (see below), whose sum is σ = 2692417952. Its totient is φ = 352615680.

The previous prime is 1057056691. The next prime is 1057056703. The reversal of 1057056700 is 76507501.

It is a super-2 number, since 2×1057056700² = 2234737734029780000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057056703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5494 + ... + 46306.

Almost surely, 2^1057056700 is an apocalyptic number.

1057056700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057056700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346208976).

1057056700 is an abundant number, since it is smaller than the sum of its proper divisors (1635361252).

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

1057056700 is a wasteful number, since it uses less digits than its factorization.

1057056700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40871 (or 40864 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 1057056700 is about 32512.4084004861. The cubic root of 1057056700 is about 1018.6682285980.

The spelling of 1057056700 in words is "one billion, fifty-seven million, fifty-six thousand, seven hundred".