56981100 has 144 divisors (see below), whose sum is σ = 185988096. Its totient is φ = 13344000.

The previous prime is 56981053. The next prime is 56981117. The reversal of 56981100 is 118965.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102022 + ... + 102578.

It is an arithmetic number, because the mean of its divisors is an integer number (1291584).

Almost surely, 2^56981100 is an apocalyptic number.

56981100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56981100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92994048).

56981100 is an abundant number, since it is smaller than the sum of its proper divisors (129006996).

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

56981100 is a wasteful number, since it uses less digits than its factorization.

56981100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 56981100 is about 7548.5826484182. The cubic root of 56981100 is about 384.8075723603.

The spelling of 56981100 in words is "fifty-six million, nine hundred eighty-one thousand, one hundred".