105216566 has 32 divisors (see below), whose sum is σ = 204476160. Its totient is φ = 39432096.

The previous prime is 105216557. The next prime is 105216577. The reversal of 105216566 is 665612501.

It is a super-2 number, since 2×105216566² = 22141051521664712, 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, 11756 + ... + 18671.

It is an arithmetic number, because the mean of its divisors is an integer number (6389880).

Almost surely, 2^105216566 is an apocalyptic number.

105216566 is a deficient number, since it is larger than the sum of its proper divisors (99259594).

105216566 is a wasteful number, since it uses less digits than its factorization.

105216566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30468.

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 105216566 is about 10257.5126614594. The cubic root of 105216566 is about 472.0935219979.

The spelling of 105216566 in words is "one hundred five million, two hundred sixteen thousand, five hundred sixty-six".