55588100 has 36 divisors (see below), whose sum is σ = 121020900. Its totient is φ = 22162560.

The previous prime is 55588069. The next prime is 55588111. The reversal of 55588100 is 188555.

It can be written as a sum of positive squares in 6 ways, for example, as 14807104 + 40780996 = 3848^2 + 6386^2 .

It is a super-2 number, since 2×55588100² = 6180073723220000, which contains 22 as substring.

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, 38186 + ... + 39614.

Almost surely, 2^55588100 is an apocalyptic number.

55588100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55588100 is an abundant number, since it is smaller than the sum of its proper divisors (65432800).

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

55588100 is a wasteful number, since it uses less digits than its factorization.

55588100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 32.

The square root of 55588100 is about 7455.7427530730. The cubic root of 55588100 is about 381.6459078184.

The spelling of 55588100 in words is "fifty-five million, five hundred eighty-eight thousand, one hundred".