105800764 has 12 divisors (see below), whose sum is σ = 187382664. Its totient is φ = 52262864.

The previous prime is 105800753. The next prime is 105800777. The reversal of 105800764 is 467008501.

It is a super-2 number, since 2×105800764² = 22387603325967392, which contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 159007 + ... + 159670.

It is an arithmetic number, because the mean of its divisors is an integer number (15615222).

Almost surely, 2^105800764 is an apocalyptic number.

It is an amenable number.

105800764 is a deficient number, since it is larger than the sum of its proper divisors (81581900).

105800764 is a wasteful number, since it uses less digits than its factorization.

105800764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318764 (or 318762 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 105800764 is about 10285.9498346045. The cubic root of 105800764 is about 472.9656508928.

The spelling of 105800764 in words is "one hundred five million, eight hundred thousand, seven hundred sixty-four".