102765984 has 96 divisors (see below), whose sum is σ = 287239680. Its totient is φ = 32078592.

The previous prime is 102765973. The next prime is 102765989. The reversal of 102765984 is 489567201.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (102765989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187599 + ... + 188145.

It is an arithmetic number, because the mean of its divisors is an integer number (2992080).

Almost surely, 2^102765984 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 102765984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143619840).

102765984 is an abundant number, since it is smaller than the sum of its proper divisors (184473696).

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

102765984 is a wasteful number, since it uses less digits than its factorization.

102765984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 102765984 is about 10137.3558682726. The cubic root of 102765984 is about 468.3995419230.

The spelling of 102765984 in words is "one hundred two million, seven hundred sixty-five thousand, nine hundred eighty-four".