55908100 has 18 divisors (see below), whose sum is σ = 121320794. Its totient is φ = 22363200.

The previous prime is 55908059. The next prime is 55908103. The reversal of 55908100 is 180955.

It can be written as a sum of positive squares in 3 ways, for example, as 13293316 + 42614784 = 3646^2 + 6528^2 .

It is a super-2 number, since 2×55908100² = 6251431291220000, which contains 22 as substring.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (55908103) 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 5 ways as a sum of consecutive naturals, for example, 279441 + ... + 279640.

Almost surely, 2^55908100 is an apocalyptic number.

55908100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55908100 is an abundant number, since it is smaller than the sum of its proper divisors (65412694).

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

55908100 is a wasteful number, since it uses less digits than its factorization.

55908100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559095 (or 559088 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 55908100 is about 7477.1719252669. The cubic root of 55908100 is about 382.3768381862.

The spelling of 55908100 in words is "fifty-five million, nine hundred eight thousand, one hundred".