56088100 has 36 divisors (see below), whose sum is σ = 128874564. Its totient is φ = 21114880.

The previous prime is 56088091. The next prime is 56088127. The reversal of 56088100 is 188065.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3873024 + 52215076 = 1968^2 + 7226^2 .

It is a super-2 number, since 2×56088100² = 6291749923220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14797 + ... + 18196.

It is an arithmetic number, because the mean of its divisors is an integer number (3579849).

Almost surely, 2^56088100 is an apocalyptic number.

56088100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56088100 is an abundant number, since it is smaller than the sum of its proper divisors (72786464).

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

56088100 is a wasteful number, since it uses less digits than its factorization.

56088100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33024 (or 33017 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 56088100 is about 7489.1988890668. The cubic root of 56088100 is about 382.7867614793.

The spelling of 56088100 in words is "fifty-six million, eighty-eight thousand, one hundred".