102715648000 has 576 divisors, whose sum is σ = 309577282560. Its totient is φ = 33288192000.

The previous prime is 102715647973. The next prime is 102715648019. The reversal of 102715648000 is 846517201.

It is a super-3 number, since 3×102715648000³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2388735979 + ... + 2388736021.

It is an arithmetic number, because the mean of its divisors is an integer number (537460560).

Almost surely, 2^102715648000 is an apocalyptic number.

102715648000 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 102715648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154788641280).

102715648000 is an abundant number, since it is smaller than the sum of its proper divisors (206861634560).

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

102715648000 is an frugal number, since it uses more digits than its factorization.

102715648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 102715648000 in words is "one hundred two billion, seven hundred fifteen million, six hundred forty-eight thousand".