1056072100 has 36 divisors (see below), whose sum is σ = 2301821424. Its totient is φ = 420558880.

The previous prime is 1056072097. The next prime is 1056072103. The reversal of 1056072100 is 12706501.

It is an interprime number because it is at equal distance from previous prime (1056072097) and next prime (1056072103).

It is a super-2 number, since 2×1056072100² = 2230576560796820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056072103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 562 + ... + 45961.

It is an arithmetic number, because the mean of its divisors is an integer number (63939484).

Almost surely, 2^1056072100 is an apocalyptic number.

1056072100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056072100 is an abundant number, since it is smaller than the sum of its proper divisors (1245749324).

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

1056072100 is a wasteful number, since it uses less digits than its factorization.

1056072100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46764 (or 46757 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 1056072100 is about 32497.2629616711. The cubic root of 1056072100 is about 1018.3518493822.

Adding to 1056072100 its reverse (12706501), we get a palindrome (1068778601).

The spelling of 1056072100 in words is "one billion, fifty-six million, seventy-two thousand, one hundred".