100407153117000 has 128 divisors (see below), whose sum is σ = 321737083424640. Its totient is φ = 26051585644800.

The previous prime is 100407153116953. The next prime is 100407153117053. The reversal of 100407153117000 is 711351704001.

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 31 ways as a sum of consecutive naturals, for example, 452173474 + ... + 452395473.

It is an arithmetic number, because the mean of its divisors is an integer number (2513570964255).

Almost surely, 2^{100407153117000} is an apocalyptic number.

100407153117000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100407153117000 is an abundant number, since it is smaller than the sum of its proper divisors (221329930307640).

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

100407153117000 is a wasteful number, since it uses less digits than its factorization.

100407153117000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904569008 (or 904568994 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

The spelling of 100407153117000 in words is "one hundred trillion, four hundred seven billion, one hundred fifty-three million, one hundred seventeen thousand".