56546100 has 216 divisors, whose sum is σ = 199049760. Its totient is φ = 13841280.

The previous prime is 56546099. The next prime is 56546111. The reversal of 56546100 is 164565.

It is a happy number.

56546100 is a `hidden beast` number, since 5 + 654 + 6 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×56546100² = 6394922850420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 315811 + ... + 315989.

Almost surely, 2^56546100 is an apocalyptic number.

56546100 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 56546100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99524880).

56546100 is an abundant number, since it is smaller than the sum of its proper divisors (142503660).

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

56546100 is a wasteful number, since it uses less digits than its factorization.

56546100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 56546100 is about 7519.7140903096. The cubic root of 56546100 is about 383.8258487654.

It can be divided in two parts, 565 and 46100, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 56546100 in words is "fifty-six million, five hundred forty-six thousand, one hundred".