102979968 has 192 divisors, whose sum is σ = 343491120. Its totient is φ = 27095040.

The previous prime is 102979967. The next prime is 102979973. The reversal of 102979968 is 869979201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 102979968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102979963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244398 + ... + 244818.

Almost surely, 2^102979968 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 102979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171745560).

102979968 is an abundant number, since it is smaller than the sum of its proper divisors (240511152).

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

102979968 is a wasteful number, since it uses less digits than its factorization.

102979968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 102979968 is about 10147.9046112978. The cubic root of 102979968 is about 468.7244241334.

The spelling of 102979968 in words is "one hundred two million, nine hundred seventy-nine thousand, nine hundred sixty-eight".