105164520 has 32 divisors (see below), whose sum is σ = 315493920. Its totient is φ = 28043840.

The previous prime is 105164513. The next prime is 105164539. The reversal of 105164520 is 25461501.

It is a super-2 number, since 2×105164520² = 22119152533660800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 438066 + ... + 438305.

It is an arithmetic number, because the mean of its divisors is an integer number (9859185).

Almost surely, 2^105164520 is an apocalyptic number.

105164520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105164520 is an abundant number, since it is smaller than the sum of its proper divisors (210329400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105164520 is a wasteful number, since it uses less digits than its factorization.

105164520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876385 (or 876381 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105164520 is about 10254.9753778349. The cubic root of 105164520 is about 472.0156678702.

The spelling of 105164520 in words is "one hundred five million, one hundred sixty-four thousand, five hundred twenty".