105631345200 has 60 divisors (see below), whose sum is σ = 338372412968. Its totient is φ = 28168358400.

The previous prime is 105631345199. The next prime is 105631345273. The reversal of 105631345200 is 2543136501.

105631345200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×105631345200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44011861 + ... + 44014260.

Almost surely, 2^105631345200 is an apocalyptic number.

105631345200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105631345200 is an abundant number, since it is smaller than the sum of its proper divisors (232741067768).

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

105631345200 is a wasteful number, since it uses less digits than its factorization.

105631345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88026142 (or 88026131 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 105631345200 in words is "one hundred five billion, six hundred thirty-one million, three hundred forty-five thousand, two hundred".