102017989416 has 576 divisors, whose sum is σ = 332436312000. Its totient is φ = 25929953280.

The previous prime is 102017989399. The next prime is 102017989429. The reversal of 102017989416 is 614989710201.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1146269500 + ... + 1146269588.

It is an arithmetic number, because the mean of its divisors is an integer number (577146375).

Almost surely, 2^102017989416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102017989416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166218156000).

102017989416 is an abundant number, since it is smaller than the sum of its proper divisors (230418322584).

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

102017989416 is a wasteful number, since it uses less digits than its factorization.

102017989416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The spelling of 102017989416 in words is "one hundred two billion, seventeen million, nine hundred eighty-nine thousand, four hundred sixteen".