102238456320 has 2160 divisors, whose sum is σ = 497179178496. Its totient is φ = 18977587200.

The previous prime is 102238456283. The next prime is 102238456343. The reversal of 102238456320 is 23654832201.

102238456320 is a `hidden beast` number, since 10 + 2 + 2 + 3 + 8 + 4 + 5 + 632 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3298014705 + ... + 3298014735.

Almost surely, 2^102238456320 is an apocalyptic number.

102238456320 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 102238456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248589589248).

102238456320 is an abundant number, since it is smaller than the sum of its proper divisors (394940722176).

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

102238456320 is a wasteful number, since it uses less digits than its factorization.

102238456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 102238456320 in words is "one hundred two billion, two hundred thirty-eight million, four hundred fifty-six thousand, three hundred twenty".