102307296 has 192 divisors, whose sum is σ = 338688000. Its totient is φ = 26869248.

The previous prime is 102307279. The next prime is 102307307. The reversal of 102307296 is 692703201.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427945 + ... + 428183.

It is an arithmetic number, because the mean of its divisors is an integer number (1764000).

Almost surely, 2^102307296 is an apocalyptic number.

102307296 is a gapful number since it is divisible by the number (16) 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 102307296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

102307296 is an abundant number, since it is smaller than the sum of its proper divisors (236380704).

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

102307296 is a wasteful number, since it uses less digits than its factorization.

102307296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 102307296 is about 10114.7069161691. The cubic root of 102307296 is about 467.7016141651.

The spelling of 102307296 in words is "one hundred two million, three hundred seven thousand, two hundred ninety-six".