56006100 has 72 divisors (see below), whose sum is σ = 180057920. Its totient is φ = 14934240.

The previous prime is 56006099. The next prime is 56006141. The reversal of 56006100 is 160065.

56006100 is a `hidden beast` number, since 5 + 600 + 61 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7672 + ... + 13071.

Almost surely, 2^56006100 is an apocalyptic number.

56006100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56006100 is an abundant number, since it is smaller than the sum of its proper divisors (124051820).

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

56006100 is a wasteful number, since it uses less digits than its factorization.

56006100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20766 (or 20753 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 56006100 is about 7483.7223358433. The cubic root of 56006100 is about 382.6001275742.

Adding to 56006100 its reverse (160065), we get a palindrome (56166165).

The spelling of 56006100 in words is "fifty-six million, six thousand, one hundred".