107279872 has 80 divisors (see below), whose sum is σ = 251903520. Its totient is φ = 44679168.

The previous prime is 107279869. The next prime is 107279881. The reversal of 107279872 is 278972701.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 132204 + ... + 133012.

It is an arithmetic number, because the mean of its divisors is an integer number (3148794).

Almost surely, 2^107279872 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 107279872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125951760).

107279872 is an abundant number, since it is smaller than the sum of its proper divisors (144623648).

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

107279872 is an frugal number, since it uses more digits than its factorization.

107279872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 43.

The square root of 107279872 is about 10357.5997219433. The cubic root of 107279872 is about 475.1594987910.

The spelling of 107279872 in words is "one hundred seven million, two hundred seventy-nine thousand, eight hundred seventy-two".