100431063125400 has 96 divisors (see below), whose sum is σ = 355812909373440. Its totient is φ = 22955671570560.

The previous prime is 100431063125383. The next prime is 100431063125411. The reversal of 100431063125400 is 4521360134001.

It is a super-2 number, since 2×100431063125400² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11956074744 + ... + 11956083143.

It is an arithmetic number, because the mean of its divisors is an integer number (3706384472640).

Almost surely, 2^{100431063125400} is an apocalyptic number.

100431063125400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100431063125400 is an abundant number, since it is smaller than the sum of its proper divisors (255381846248040).

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

100431063125400 is a wasteful number, since it uses less digits than its factorization.

100431063125400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23912157913 (or 23912157904 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 100431063125400 in words is "one hundred trillion, four hundred thirty-one billion, sixty-three million, one hundred twenty-five thousand, four hundred".