56105600 has 96 divisors (see below), whose sum is σ = 140867100. Its totient is φ = 22077440.

The previous prime is 56105591. The next prime is 56105611. The reversal of 56105600 is 650165.

It can be written as a sum of positive squares in 6 ways, for example, as 28815424 + 27290176 = 5368^2 + 5224^2 .

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, 284702 + ... + 284898.

Almost surely, 2^56105600 is an apocalyptic number.

56105600 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 56105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70433550).

56105600 is an abundant number, since it is smaller than the sum of its proper divisors (84761500).

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

56105600 is a wasteful number, since it uses less digits than its factorization.

56105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 56105600 is about 7490.3671472098. The cubic root of 56105600 is about 382.8265683293.

Adding to 56105600 its reverse (650165), we get a palindrome (56755765).

The spelling of 56105600 in words is "fifty-six million, one hundred five thousand, six hundred".