105605464565 has 16 divisors (see below), whose sum is σ = 130180995840. Its totient is φ = 82182444480.

The previous prime is 105605464553. The next prime is 105605464579. The reversal of 105605464565 is 565464506501.

It is not a de Polignac number, because 105605464565 - 2⁸ = 105605464309 is a prime.

It is a super-2 number, since 2×105605464565² (a number of 23 digits) 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, 787166 + ... + 911504.

It is an arithmetic number, because the mean of its divisors is an integer number (8136312240).

Almost surely, 2^105605464565 is an apocalyptic number.

It is an amenable number.

105605464565 is a deficient number, since it is larger than the sum of its proper divisors (24575531275).

105605464565 is a wasteful number, since it uses less digits than its factorization.

105605464565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128972.

The product of its (nonzero) digits is 2160000, while the sum is 47.

The spelling of 105605464565 in words is "one hundred five billion, six hundred five million, four hundred sixty-four thousand, five hundred sixty-five".