105431724600200 has 48 divisors (see below), whose sum is σ = 253036139055360. Its totient is φ = 40812280488000.

The previous prime is 105431724600199. The next prime is 105431724600229. The reversal of 105431724600200 is 2006427134501.

It is a super-2 number, since 2×105431724600200² (a number of 29 digits) contains 22 as substring.

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, 8502552236 + ... + 8502564635.

It is an arithmetic number, because the mean of its divisors is an integer number (5271586230320).

Almost surely, 2^{105431724600200} is an apocalyptic number.

105431724600200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105431724600200 is an abundant number, since it is smaller than the sum of its proper divisors (147604414455160).

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

105431724600200 is a wasteful number, since it uses less digits than its factorization.

105431724600200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17005116918 (or 17005116909 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 105431724600200 in words is "one hundred five trillion, four hundred thirty-one billion, seven hundred twenty-four million, six hundred thousand, two hundred".