56558100 has 36 divisors (see below), whose sum is σ = 163642304. Its totient is φ = 15082080.

The previous prime is 56558087. The next prime is 56558101. The reversal of 56558100 is 185565.

It is a happy number.

It is a super-2 number, since 2×56558100² = 6397637351220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56558101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93964 + ... + 94563.

Almost surely, 2^56558100 is an apocalyptic number.

56558100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56558100 is an abundant number, since it is smaller than the sum of its proper divisors (107084204).

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

56558100 is a wasteful number, since it uses less digits than its factorization.

56558100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188544 (or 188537 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 56558100 is about 7520.5119506587. The cubic root of 56558100 is about 383.8529982029.

The spelling of 56558100 in words is "fifty-six million, five hundred fifty-eight thousand, one hundred".