107979264 has 160 divisors (see below), whose sum is σ = 327032640. Its totient is φ = 35168256.

The previous prime is 107979259. The next prime is 107979269. The reversal of 107979264 is 462979701.

It is an interprime number because it is at equal distance from previous prime (107979259) and next prime (107979269).

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 not an unprimeable number, because it can be changed into a prime (107979269) 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 15 ways as a sum of consecutive naturals, for example, 1009099 + ... + 1009205.

It is an arithmetic number, because the mean of its divisors is an integer number (2043954).

Almost surely, 2^107979264 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 107979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163516320).

107979264 is an abundant number, since it is smaller than the sum of its proper divisors (219053376).

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

107979264 is an equidigital number, since it uses as much as digits as its factorization.

107979264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 107979264 is about 10391.3071362558. The cubic root of 107979264 is about 476.1898355395.

The spelling of 107979264 in words is "one hundred seven million, nine hundred seventy-nine thousand, two hundred sixty-four".