102168012960 has 1152 divisors, whose sum is σ = 426094905600. Its totient is φ = 22663618560.

The previous prime is 102168012959. The next prime is 102168013021. The reversal of 102168012960 is 69210861201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 564464070 + ... + 564464250.

It is an arithmetic number, because the mean of its divisors is an integer number (369874050).

Almost surely, 2^102168012960 is an apocalyptic number.

102168012960 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 102168012960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213047452800).

102168012960 is an abundant number, since it is smaller than the sum of its proper divisors (323926892640).

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

102168012960 is a wasteful number, since it uses less digits than its factorization.

102168012960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 102168012960 in words is "one hundred two billion, one hundred sixty-eight million, twelve thousand, nine hundred sixty".