102988183864512 has 224 divisors, whose sum is σ = 285490222617600. Its totient is φ = 32703857815552.

The previous prime is 102988183864483. The next prime is 102988183864583. The reversal of 102988183864512 is 215468381889201.

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, 1263478414 + ... + 1263559922.

It is an arithmetic number, because the mean of its divisors is an integer number (1274509922400).

Almost surely, 2^{102988183864512} is an apocalyptic number.

102988183864512 is a gapful number since it is divisible by the number (12) 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 102988183864512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142745111308800).

102988183864512 is an abundant number, since it is smaller than the sum of its proper divisors (182502038753088).

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

102988183864512 is a wasteful number, since it uses less digits than its factorization.

102988183864512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82703 (or 82693 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 66.

The spelling of 102988183864512 in words is "one hundred two trillion, nine hundred eighty-eight billion, one hundred eighty-three million, eight hundred sixty-four thousand, five hundred twelve".