102107589120 has 280 divisors, whose sum is σ = 367067143476. Its totient is φ = 27228192768.

The previous prime is 102107589113. The next prime is 102107589139. The reversal of 102107589120 is 21985701201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 99724587264 + 2383001856 = 315792^2 + 48816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1838884 + ... + 1893596.

Almost surely, 2^102107589120 is an apocalyptic number.

102107589120 is a gapful number since it is divisible by the number (10) 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 102107589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183533571738).

102107589120 is an abundant number, since it is smaller than the sum of its proper divisors (264959554356).

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

102107589120 is an frugal number, since it uses more digits than its factorization.

102107589120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54754 (or 54723 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 102107589120 in words is "one hundred two billion, one hundred seven million, five hundred eighty-nine thousand, one hundred twenty".