102351312 has 120 divisors (see below), whose sum is σ = 333103680. Its totient is φ = 28730880.

The previous prime is 102351299. The next prime is 102351323. The reversal of 102351312 is 213153201.

102351312 is a `hidden beast` number, since 1 + 0 + 2 + 351 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 58612 + ... + 60332.

It is an arithmetic number, because the mean of its divisors is an integer number (2775864).

Almost surely, 2^102351312 is an apocalyptic number.

102351312 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 102351312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166551840).

102351312 is an abundant number, since it is smaller than the sum of its proper divisors (230752368).

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

102351312 is a wasteful number, since it uses less digits than its factorization.

102351312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 102351312 is about 10116.8825237817. The cubic root of 102351312 is about 467.7686781428.

The spelling of 102351312 in words is "one hundred two million, three hundred fifty-one thousand, three hundred twelve".