102684639360 has 256 divisors, whose sum is σ = 330693269760. Its totient is φ = 27100889088.

The previous prime is 102684639347. The next prime is 102684639401. The reversal of 102684639360 is 63936486201.

It is a super-2 number, since 2×102684639360² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 93946974 + ... + 93948066.

It is an arithmetic number, because the mean of its divisors is an integer number (1291770585).

Almost surely, 2^102684639360 is an apocalyptic number.

102684639360 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 102684639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165346634880).

102684639360 is an abundant number, since it is smaller than the sum of its proper divisors (228008630400).

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

102684639360 is a wasteful number, since it uses less digits than its factorization.

102684639360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 102684639360 in words is "one hundred two billion, six hundred eighty-four million, six hundred thirty-nine thousand, three hundred sixty".