102188317872 has 40 divisors (see below), whose sum is σ = 263999107440. Its totient is φ = 34061144320.

The previous prime is 102188317859. The next prime is 102188317909. The reversal of 102188317872 is 278713881201.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1376422 + ... + 1448762.

It is an arithmetic number, because the mean of its divisors is an integer number (6599977686).

Almost surely, 2^102188317872 is an apocalyptic number.

102188317872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102188317872 is an abundant number, since it is smaller than the sum of its proper divisors (161810789568).

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

102188317872 is a wasteful number, since it uses less digits than its factorization.

102188317872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101781 (or 101775 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 48.

The spelling of 102188317872 in words is "one hundred two billion, one hundred eighty-eight million, three hundred seventeen thousand, eight hundred seventy-two".