107314312 has 48 divisors (see below), whose sum is σ = 241643520. Its totient is φ = 44503200.

The previous prime is 107314309. The next prime is 107314313. The reversal of 107314312 is 213413701.

It is not an unprimeable number, because it can be changed into a prime (107314313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7737 + ... + 16567.

It is an arithmetic number, because the mean of its divisors is an integer number (5034240).

Almost surely, 2^107314312 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 107314312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120821760).

107314312 is an abundant number, since it is smaller than the sum of its proper divisors (134329208).

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

107314312 is a wasteful number, since it uses less digits than its factorization.

107314312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8882 (or 8871 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 107314312 is about 10359.2621358859. The cubic root of 107314312 is about 475.2103400842.

The spelling of 107314312 in words is "one hundred seven million, three hundred fourteen thousand, three hundred twelve".