56100 has 72 divisors (see below), whose sum is σ = 187488. Its totient is φ = 12800.

The previous prime is 56099. The next prime is 56101. The reversal of 56100 is 165.

56100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56099) and next prime (56101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3292 + ... + 3308.

It is an arithmetic number, because the mean of its divisors is an integer number (2604).

2⁵⁶¹⁰⁰ is an apocalyptic number.

56100 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 56100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744).

56100 is an abundant number, since it is smaller than the sum of its proper divisors (131388).

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

56100 is a wasteful number, since it uses less digits than its factorization.

56100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 56100 is about 236.8543856465. The cubic root of 56100 is about 38.2813831038.

Adding to 56100 its reverse (165), we get a palindrome (56265).

It can be divided in two parts, 5 and 6100, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 56100 in words is "fifty-six thousand, one hundred".