102398688 has 96 divisors (see below), whose sum is σ = 341349120. Its totient is φ = 29255040.

The previous prime is 102398671. The next prime is 102398707. The reversal of 102398688 is 886893201.

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

It is a congruent number.

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, 2418 + ... + 14513.

It is an arithmetic number, because the mean of its divisors is an integer number (3555720).

Almost surely, 2^102398688 is an apocalyptic number.

102398688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102398688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170674560).

102398688 is an abundant number, since it is smaller than the sum of its proper divisors (238950432).

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

102398688 is a wasteful number, since it uses less digits than its factorization.

102398688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16957 (or 16943 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 102398688 is about 10119.2236856391. The cubic root of 102398688 is about 467.8408400267.

The spelling of 102398688 in words is "one hundred two million, three hundred ninety-eight thousand, six hundred eighty-eight".