107709312 has 64 divisors (see below), whose sum is σ = 287884800. Its totient is φ = 35679744.

The previous prime is 107709211. The next prime is 107709317. The reversal of 107709312 is 213907701.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 107709312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107709317) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 67953 + ... + 69519.

It is an arithmetic number, because the mean of its divisors is an integer number (4498200).

Almost surely, 2^107709312 is an apocalyptic number.

107709312 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 107709312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143942400).

107709312 is an abundant number, since it is smaller than the sum of its proper divisors (180175488).

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

107709312 is a wasteful number, since it uses less digits than its factorization.

107709312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 107709312 is about 10378.3096889619. The cubic root of 107709312 is about 475.7926738748.

The spelling of 107709312 in words is "one hundred seven million, seven hundred nine thousand, three hundred twelve".