107479872 has 84 divisors (see below), whose sum is σ = 319527936. Its totient is φ = 35821440.

The previous prime is 107479861. The next prime is 107479877. The reversal of 107479872 is 278974701.

It is a happy number.

107479872 is a `hidden beast` number, since 107 + 479 + 8 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107479877) 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, 12097 + ... + 19007.

It is an arithmetic number, because the mean of its divisors is an integer number (3803904).

Almost surely, 2^107479872 is an apocalyptic number.

107479872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

107479872 is the 5184-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107479872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159763968).

107479872 is an abundant number, since it is smaller than the sum of its proper divisors (212048064).

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

107479872 is an frugal number, since it uses more digits than its factorization.

107479872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6938 (or 6916 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 107479872 is about 10367.2499728713. The cubic root of 107479872 is about 475.4545926846.

The spelling of 107479872 in words is "one hundred seven million, four hundred seventy-nine thousand, eight hundred seventy-two".