105180800 has 48 divisors (see below), whose sum is σ = 259837350. Its totient is φ = 42071040.

The previous prime is 105180787. The next prime is 105180811. The reversal of 105180800 is 8081501.

It can be written as a sum of positive squares in 3 ways, for example, as 81288256 + 23892544 = 9016^2 + 4888^2 .

It is a super-2 number, since 2×105180800² = 22126001377280000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13235 + ... + 19634.

Almost surely, 2^105180800 is an apocalyptic number.

105180800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105180800 is an abundant number, since it is smaller than the sum of its proper divisors (154656550).

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

105180800 is an equidigital number, since it uses as much as digits as its factorization.

105180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32893 (or 32876 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 105180800 is about 10255.7691081654. The cubic root of 105180800 is about 472.0400234183.

The spelling of 105180800 in words is "one hundred five million, one hundred eighty thousand, eight hundred".