106565056400 has 60 divisors (see below), whose sum is σ = 279297336624. Its totient is φ = 38750928000.

The previous prime is 106565056391. The next prime is 106565056417. The reversal of 106565056400 is 4650565601.

It is a super-2 number, since 2×106565056400² (a number of 23 digits) contains 22 as substring.

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, 12105266 + ... + 12114065.

Almost surely, 2^106565056400 is an apocalyptic number.

106565056400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106565056400 is an abundant number, since it is smaller than the sum of its proper divisors (172732280224).

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

106565056400 is a wasteful number, since it uses less digits than its factorization.

106565056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24219360 (or 24219349 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 106565056400 in words is "one hundred six billion, five hundred sixty-five million, fifty-six thousand, four hundred".