102965364 has 48 divisors (see below), whose sum is σ = 268934400. Its totient is φ = 34066368.

The previous prime is 102965363. The next prime is 102965441. The reversal of 102965364 is 463569201.

It is a happy number.

102965364 is a `hidden beast` number, since 1 + 0 + 296 + 5 + 364 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102965363) 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, 11317 + ... + 18275.

It is an arithmetic number, because the mean of its divisors is an integer number (5602800).

Almost surely, 2^102965364 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 102965364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134467200).

102965364 is an abundant number, since it is smaller than the sum of its proper divisors (165969036).

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

102965364 is a wasteful number, since it uses less digits than its factorization.

102965364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7109 (or 7101 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 102965364 is about 10147.1850283712. The cubic root of 102965364 is about 468.7022658593.

The spelling of 102965364 in words is "one hundred two million, nine hundred sixty-five thousand, three hundred sixty-four".