102331296 has 96 divisors (see below), whose sum is σ = 316068480. Its totient is φ = 32099328.

The previous prime is 102331291. The next prime is 102331297. The reversal of 102331296 is 692133201.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102331291) 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, 11205 + ... + 18171.

It is an arithmetic number, because the mean of its divisors is an integer number (3292380).

Almost surely, 2^102331296 is an apocalyptic number.

102331296 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 102331296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158034240).

102331296 is an abundant number, since it is smaller than the sum of its proper divisors (213737184).

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

102331296 is a wasteful number, since it uses less digits than its factorization.

102331296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7003 (or 6989 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 102331296 is about 10115.8932378708. The cubic root of 102331296 is about 467.7381836036.

Adding to 102331296 its reverse (692133201), we get a palindrome (794464497).

The spelling of 102331296 in words is "one hundred two million, three hundred thirty-one thousand, two hundred ninety-six".