1057265100 has 54 divisors (see below), whose sum is σ = 3313941540. Its totient is φ = 281937120.

The previous prime is 1057264987. The next prime is 1057265101. The reversal of 1057265100 is 15627501.

1057265100 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 2 + 651 + 0 + 0 = 666.

1057265100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1057265100² = 2235618983356020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057265101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 586470 + ... + 588269.

Almost surely, 2^1057265100 is an apocalyptic number.

1057265100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057265100 is an abundant number, since it is smaller than the sum of its proper divisors (2256676440).

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

1057265100 is a wasteful number, since it uses less digits than its factorization.

1057265100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174759 (or 1174749 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 1057265100 is about 32515.6131727513. The cubic root of 1057265100 is about 1018.7351680880.

The spelling of 1057265100 in words is "one billion, fifty-seven million, two hundred sixty-five thousand, one hundred".