105899164 has 24 divisors (see below), whose sum is σ = 212424800. Its totient is φ = 45251136.

The previous prime is 105899161. The next prime is 105899173. The reversal of 105899164 is 461998501.

It is a super-2 number, since 2×105899164² = 22429265871797792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105899164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105899161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4354 + ... + 15190.

Almost surely, 2^105899164 is an apocalyptic number.

105899164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105899164 is an abundant number, since it is smaller than the sum of its proper divisors (106525636).

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

105899164 is a wasteful number, since it uses less digits than its factorization.

105899164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11197 (or 11195 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The square root of 105899164 is about 10290.7319467568. The cubic root of 105899164 is about 473.1122326931.

The spelling of 105899164 in words is "one hundred five million, eight hundred ninety-nine thousand, one hundred sixty-four".