107312 has 20 divisors (see below), whose sum is σ = 219480. Its totient is φ = 50688.

The previous prime is 107309. The next prime is 107323. The reversal of 107312 is 213701.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128 + ... + 480.

It is an arithmetic number, because the mean of its divisors is an integer number (10974).

2¹⁰⁷³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109740).

107312 is an abundant number, since it is smaller than the sum of its proper divisors (112168).

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

107312 is a wasteful number, since it uses less digits than its factorization.

107312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 107312 is about 327.5851034464. The cubic root of 107312 is about 47.5206927386.

The spelling of 107312 in words is "one hundred seven thousand, three hundred twelve", and thus it is an iban number.