56005100 has 36 divisors (see below), whose sum is σ = 123835824. Its totient is φ = 21977280.

The previous prime is 56005063. The next prime is 56005129. The reversal of 56005100 is 150065.

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, 17 + ... + 10583.

It is an arithmetic number, because the mean of its divisors is an integer number (3439884).

Almost surely, 2^56005100 is an apocalyptic number.

56005100 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 56005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61917912).

56005100 is an abundant number, since it is smaller than the sum of its proper divisors (67830724).

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

56005100 is a wasteful number, since it uses less digits than its factorization.

56005100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10634 (or 10627 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 56005100 is about 7483.6555238733. The cubic root of 56005100 is about 382.5978504270.

Adding to 56005100 its reverse (150065), we get a palindrome (56155165).

The spelling of 56005100 in words is "fifty-six million, five thousand, one hundred".