102908916864 has 384 divisors, whose sum is σ = 327059066880. Its totient is φ = 30865121280.

The previous prime is 102908916863. The next prime is 102908916907. The reversal of 102908916864 is 468619809201.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 102908916864.

It is not an unprimeable number, because it can be changed into a prime (102908916863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116018629 + ... + 116019515.

It is an arithmetic number, because the mean of its divisors is an integer number (851716320).

Almost surely, 2^102908916864 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 102908916864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163529533440).

102908916864 is an abundant number, since it is smaller than the sum of its proper divisors (224150150016).

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

102908916864 is a wasteful number, since it uses less digits than its factorization.

102908916864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 102908916864 in words is "one hundred two billion, nine hundred eight million, nine hundred sixteen thousand, eight hundred sixty-four".