100108439145600 has 192 divisors, whose sum is σ = 330444350624640. Its totient is φ = 26637924741120.

The previous prime is 100108439145593. The next prime is 100108439145713. The reversal of 100108439145600 is 6541934801001.

It is a tau number, because it is divible by the number of its divisors (192).

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, 6816499 + ... + 15706098.

It is an arithmetic number, because the mean of its divisors is an integer number (1721064326170).

Almost surely, 2^{100108439145600} is an apocalyptic number.

100108439145600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100108439145600 is an abundant number, since it is smaller than the sum of its proper divisors (230335911479040).

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

100108439145600 is a wasteful number, since it uses less digits than its factorization.

100108439145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22523087 (or 22523070 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 100108439145600 in words is "one hundred trillion, one hundred eight billion, four hundred thirty-nine million, one hundred forty-five thousand, six hundred".