109979712 has 84 divisors (see below), whose sum is σ = 322995036. Its totient is φ = 35758080.

The previous prime is 109979711. The next prime is 109979713. The reversal of 109979712 is 217979901.

It is an interprime number because it is at equal distance from previous prime (109979711) and next prime (109979713).

It can be written as a sum of positive squares in 2 ways, for example, as 8856576 + 101123136 = 2976^2 + 10056^2 .

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 (109979711) 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, 21288 + ... + 25944.

It is an arithmetic number, because the mean of its divisors is an integer number (3845179).

Almost surely, 2^109979712 is an apocalyptic number.

109979712 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 109979712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161497518).

109979712 is an abundant number, since it is smaller than the sum of its proper divisors (213015324).

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

109979712 is a wasteful number, since it uses less digits than its factorization.

109979712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716 (or 4703 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

The square root of 109979712 is about 10487.1212446505. The cubic root of 109979712 is about 479.1125268266.

The spelling of 109979712 in words is "one hundred nine million, nine hundred seventy-nine thousand, seven hundred twelve".