105164352 has 56 divisors (see below), whose sum is σ = 309168800. Its totient is φ = 35054208.

The previous prime is 105164341. The next prime is 105164377. The reversal of 105164352 is 253461501.

105164352 is a `hidden beast` number, since 10 + 5 + 1 + 643 + 5 + 2 = 666.

It is a super-2 number, since 2×105164352² = 22119081863159808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28702 + ... + 32157.

Almost surely, 2^105164352 is an apocalyptic number.

105164352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105164352 is an abundant number, since it is smaller than the sum of its proper divisors (204004448).

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

105164352 is an equidigital number, since it uses as much as digits as its factorization.

105164352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60880 (or 60864 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105164352 is about 10254.9671866857. The cubic root of 105164352 is about 472.0154165222.

The spelling of 105164352 in words is "one hundred five million, one hundred sixty-four thousand, three hundred fifty-two".