102395568 has 80 divisors (see below), whose sum is σ = 291945600. Its totient is φ = 30666240.

The previous prime is 102395551. The next prime is 102395591. The reversal of 102395568 is 865593201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45903 + ... + 48081.

It is an arithmetic number, because the mean of its divisors is an integer number (3649320).

Almost surely, 2^102395568 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 102395568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145972800).

102395568 is an abundant number, since it is smaller than the sum of its proper divisors (189550032).

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

102395568 is a wasteful number, since it uses less digits than its factorization.

102395568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 102395568 is about 10119.0695224413. The cubic root of 102395568 is about 467.8360884091.

The spelling of 102395568 in words is "one hundred two million, three hundred ninety-five thousand, five hundred sixty-eight".