102125268515808 has 72 divisors (see below), whose sum is σ = 307502187200208. Its totient is φ = 32039299924992.

The previous prime is 102125268515761. The next prime is 102125268515843. The reversal of 102125268515808 is 808515862521201.

102125268515808 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 5 + 2 + 6 + 8 + 51 + 580 + 8 = 666.

102125268515808 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10429454716 + ... + 10429464507.

It is an arithmetic number, because the mean of its divisors is an integer number (4270863711114).

Almost surely, 2^{102125268515808} is an apocalyptic number.

102125268515808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102125268515808 is an abundant number, since it is smaller than the sum of its proper divisors (205376918684400).

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

102125268515808 is a wasteful number, since it uses less digits than its factorization.

102125268515808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20858919256 (or 20858919245 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 54.

The spelling of 102125268515808 in words is "one hundred two trillion, one hundred twenty-five billion, two hundred sixty-eight million, five hundred fifteen thousand, eight hundred eight".