107679744 has 156 divisors (see below), whose sum is σ = 327115776. Its totient is φ = 34062336.

The previous prime is 107679743. The next prime is 107679749. The reversal of 107679744 is 447976701.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 107679744.

It is not an unprimeable number, because it can be changed into a prime (107679743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 847809 + ... + 847935.

It is an arithmetic number, because the mean of its divisors is an integer number (2096896).

Almost surely, 2^107679744 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 107679744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163557888).

107679744 is an abundant number, since it is smaller than the sum of its proper divisors (219436032).

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

107679744 is a wasteful number, since it uses less digits than its factorization.

107679744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 107679744 is about 10376.8850817574. The cubic root of 107679744 is about 475.7491322192.

The spelling of 107679744 in words is "one hundred seven million, six hundred seventy-nine thousand, seven hundred forty-four".