216105564 has 48 divisors (see below), whose sum is σ = 552333600. Its totient is φ = 65458176.

The previous prime is 216105517. The next prime is 216105583. The reversal of 216105564 is 465501612.

It is a super-2 number, since 2×216105564² = 93403229583516192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12349 + ... + 24180.

It is an arithmetic number, because the mean of its divisors is an integer number (11506950).

Almost surely, 2^216105564 is an apocalyptic number.

It is an amenable number.

216105564 is an abundant number, since it is smaller than the sum of its proper divisors (336228036).

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

216105564 is a wasteful number, since it uses less digits than its factorization.

216105564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36582 (or 36580 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 216105564 is about 14700.5293782231. The cubic root of 216105564 is about 600.0977285255.

The spelling of 216105564 in words is "two hundred sixteen million, one hundred five thousand, five hundred sixty-four".