102325087872 has 864 divisors, whose sum is σ = 378195461280. Its totient is φ = 26002538496.

The previous prime is 102325087867. The next prime is 102325087873. The reversal of 102325087872 is 278780523201.

102325087872 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 2 + 508 + 78 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (102325087873) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1232832343 + ... + 1232832425.

Almost surely, 2^102325087872 is an apocalyptic number.

102325087872 is a gapful number since it is divisible by the number (12) 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 102325087872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189097730640).

102325087872 is an abundant number, since it is smaller than the sum of its proper divisors (275870373408).

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

102325087872 is a wasteful number, since it uses less digits than its factorization.

102325087872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 102325087872 in words is "one hundred two billion, three hundred twenty-five million, eighty-seven thousand, eight hundred seventy-two".