100668516635904 has 432 divisors, whose sum is σ = 330417782145024. Its totient is φ = 26624389017600.

The previous prime is 100668516635879. The next prime is 100668516635983. The reversal of 100668516635904 is 409536615866001.

100668516635904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87590089 + ... + 88731959.

Almost surely, 2^{100668516635904} is an apocalyptic number.

100668516635904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100668516635904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165208891072512).

100668516635904 is an abundant number, since it is smaller than the sum of its proper divisors (229749265509120).

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

100668516635904 is a wasteful number, since it uses less digits than its factorization.

100668516635904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141974 (or 1141937 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 60.

The spelling of 100668516635904 in words is "one hundred trillion, six hundred sixty-eight billion, five hundred sixteen million, six hundred thirty-five thousand, nine hundred four".