102265984 has 64 divisors (see below), whose sum is σ = 211507200. Its totient is φ = 49223680.

The previous prime is 102265973. The next prime is 102266029. The reversal of 102265984 is 489562201.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 535329 + ... + 535519.

It is an arithmetic number, because the mean of its divisors is an integer number (3304800).

Almost surely, 2^102265984 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 102265984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105753600).

102265984 is an abundant number, since it is smaller than the sum of its proper divisors (109241216).

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

102265984 is an equidigital number, since it uses as much as digits as its factorization.

102265984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 102265984 is about 10112.6645351262. The cubic root of 102265984 is about 467.6386525741.

The spelling of 102265984 in words is "one hundred two million, two hundred sixty-five thousand, nine hundred eighty-four".