102166904625072 has 80 divisors (see below), whose sum is σ = 302411036478720. Its totient is φ = 29115504182016.

The previous prime is 102166904625043. The next prime is 102166904625089. The reversal of 102166904625072 is 270526409661201.

It is a happy number.

102166904625072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390702418 + ... + 390963825.

It is an arithmetic number, because the mean of its divisors is an integer number (3780137955984).

Almost surely, 2^{102166904625072} is an apocalyptic number.

102166904625072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102166904625072 is an abundant number, since it is smaller than the sum of its proper divisors (200244131853648).

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

102166904625072 is a wasteful number, since it uses less digits than its factorization.

102166904625072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781666650 (or 781666644 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 102166904625072 in words is "one hundred two trillion, one hundred sixty-six billion, nine hundred four million, six hundred twenty-five thousand, seventy-two".