56544100 has 18 divisors (see below), whose sum is σ = 122700914. Its totient is φ = 22617600.

The previous prime is 56544073. The next prime is 56544107. The reversal of 56544100 is 144565.

It can be written as a sum of positive squares in 3 ways, for example, as 2286144 + 54257956 = 1512^2 + 7366^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (56544107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 282621 + ... + 282820.

Almost surely, 2^56544100 is an apocalyptic number.

56544100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56544100 is an abundant number, since it is smaller than the sum of its proper divisors (66156814).

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

56544100 is a wasteful number, since it uses less digits than its factorization.

56544100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565455 (or 565448 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 56544100 is about 7519.5811053542. The cubic root of 56544100 is about 383.8213234858.

Adding to 56544100 its reverse (144565), we get a palindrome (56688665).

It can be divided in two parts, 56544 and 100, that added together give a square (56644 = 238²).

The spelling of 56544100 in words is "fifty-six million, five hundred forty-four thousand, one hundred".