105409565 has 16 divisors (see below), whose sum is σ = 130394880. Its totient is φ = 81751680.

The previous prime is 105409561. The next prime is 105409567. The reversal of 105409565 is 565904501.

It is not a de Polignac number, because 105409565 - 2² = 105409561 is a prime.

It is a super-2 number, since 2×105409565² = 22222352786978450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105409561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32696 + ... + 35774.

It is an arithmetic number, because the mean of its divisors is an integer number (8149680).

Almost surely, 2^105409565 is an apocalyptic number.

It is an amenable number.

105409565 is a deficient number, since it is larger than the sum of its proper divisors (24985315).

105409565 is a wasteful number, since it uses less digits than its factorization.

105409565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292.

The product of its (nonzero) digits is 27000, while the sum is 35.

The square root of 105409565 is about 10266.9160413437. The cubic root of 105409565 is about 472.3819997787.

The spelling of 105409565 in words is "one hundred five million, four hundred nine thousand, five hundred sixty-five".