102393312 has 96 divisors (see below), whose sum is σ = 325285632. Its totient is φ = 27531264.

The previous prime is 102393301. The next prime is 102393323. The reversal of 102393312 is 213393201.

It is an interprime number because it is at equal distance from previous prime (102393301) and next prime (102393323).

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6943 + ... + 15905.

It is an arithmetic number, because the mean of its divisors is an integer number (3388392).

Almost surely, 2^102393312 is an apocalyptic number.

102393312 is a gapful number since it is divisible by the number (12) 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 102393312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162642816).

102393312 is an abundant number, since it is smaller than the sum of its proper divisors (222892320).

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

102393312 is a wasteful number, since it uses less digits than its factorization.

102393312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9000 (or 8992 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 102393312 is about 10118.9580491274. The cubic root of 102393312 is about 467.8326525639.

The spelling of 102393312 in words is "one hundred two million, three hundred ninety-three thousand, three hundred twelve".