100015665061600 has 36 divisors (see below), whose sum is σ = 244163242333584. Its totient is φ = 40006266024320.

The previous prime is 100015665061589. The next prime is 100015665061633. The reversal of 100015665061600 is 6160566510001.

100015665061600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 100015665061600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62509789864 + ... + 62509791463.

It is an arithmetic number, because the mean of its divisors is an integer number (6782312287044).

Almost surely, 2^{100015665061600} is an apocalyptic number.

100015665061600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100015665061600 is an abundant number, since it is smaller than the sum of its proper divisors (144147577271984).

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

100015665061600 is a wasteful number, since it uses less digits than its factorization.

100015665061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125019581347 (or 125019581334 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 100015665061600 in words is "one hundred trillion, fifteen billion, six hundred sixty-five million, sixty-one thousand, six hundred".