105365164504 has 32 divisors (see below), whose sum is σ = 199126680480. Its totient is φ = 52265200384.

The previous prime is 105365164493. The next prime is 105365164529. The reversal of 105365164504 is 405461563501.

It is a happy number.

It is a super-2 number, since 2×105365164504² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1764789 + ... + 1823515.

It is an arithmetic number, because the mean of its divisors is an integer number (6222708765).

Almost surely, 2^105365164504 is an apocalyptic number.

It is an amenable number.

105365164504 is a deficient number, since it is larger than the sum of its proper divisors (93761515976).

105365164504 is a wasteful number, since it uses less digits than its factorization.

105365164504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60507 (or 60503 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 105365164504 in words is "one hundred five billion, three hundred sixty-five million, one hundred sixty-four thousand, five hundred four".