102395904 has 104 divisors (see below), whose sum is σ = 294482832. Its totient is φ = 31457280.

The previous prime is 102395903. The next prime is 102395911. The reversal of 102395904 is 409593201.

It is a tau number, because it is divible by the number of its divisors (104).

It is a super-4 number, since 4×102395904⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102395903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159424 + ... + 160064.

Almost surely, 2^102395904 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 102395904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147241416).

102395904 is an abundant number, since it is smaller than the sum of its proper divisors (192086928).

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

102395904 is an equidigital number, since it uses as much as digits as its factorization.

102395904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 102395904 is about 10119.0861247447. The cubic root of 102395904 is about 467.8366001264.

The spelling of 102395904 in words is "one hundred two million, three hundred ninety-five thousand, nine hundred four".