102651316320 has 384 divisors, whose sum is σ = 378581962752. Its totient is φ = 22892544000.

The previous prime is 102651316319. The next prime is 102651316331. The reversal of 102651316320 is 23613156201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63325110 + ... + 63326730.

It is an arithmetic number, because the mean of its divisors is an integer number (985890528).

Almost surely, 2^102651316320 is an apocalyptic number.

102651316320 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 102651316320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189290981376).

102651316320 is an abundant number, since it is smaller than the sum of its proper divisors (275930646432).

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

102651316320 is a wasteful number, since it uses less digits than its factorization.

102651316320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 102651316320 in words is "one hundred two billion, six hundred fifty-one million, three hundred sixteen thousand, three hundred twenty".