105116565 has 32 divisors (see below), whose sum is σ = 172627200. Its totient is φ = 54602240.

The previous prime is 105116551. The next prime is 105116587. The reversal of 105116565 is 565611501.

It is not a de Polignac number, because 105116565 - 2⁵ = 105116533 is a prime.

It is a super-2 number, since 2×105116565² = 22098984474798450, 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 31 ways as a sum of consecutive naturals, for example, 94231 + ... + 95339.

It is an arithmetic number, because the mean of its divisors is an integer number (5394600).

Almost surely, 2^105116565 is an apocalyptic number.

105116565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105116565 is a deficient number, since it is larger than the sum of its proper divisors (67510635).

105116565 is a wasteful number, since it uses less digits than its factorization.

105116565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277.

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 105116565 is about 10252.6369778706. The cubic root of 105116565 is about 471.9439106121.

The spelling of 105116565 in words is "one hundred five million, one hundred sixteen thousand, five hundred sixty-five".