105900800 has 54 divisors (see below), whose sum is σ = 262136868. Its totient is φ = 42357760.

The previous prime is 105900799. The next prime is 105900829. The reversal of 105900800 is 8009501.

It is a super-2 number, since 2×105900800² = 22429958881280000, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 1874 + ... + 14673.

Almost surely, 2^105900800 is an apocalyptic number.

105900800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105900800 is an abundant number, since it is smaller than the sum of its proper divisors (156236068).

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

105900800 is an equidigital number, since it uses as much as digits as its factorization.

105900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16573 (or 16554 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 105900800 is about 10290.8114354506. The cubic root of 105900800 is about 473.1146689970.

The spelling of 105900800 in words is "one hundred five million, nine hundred thousand, eight hundred".