109615680 has 140 divisors (see below), whose sum is σ = 390014460. Its totient is φ = 29223936.

The previous prime is 109615669. The next prime is 109615697. The reversal of 109615680 is 86516901.

109615680 is a `hidden beast` number, since 1 + 0 + 96 + 1 + 568 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84934656 + 24681024 = 9216^2 + 4968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23806 + ... + 28034.

Almost surely, 2^109615680 is an apocalyptic number.

109615680 is a gapful number since it is divisible by the number (10) 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 109615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195007230).

109615680 is an abundant number, since it is smaller than the sum of its proper divisors (280398780).

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

109615680 is an equidigital number, since it uses as much as digits as its factorization.

109615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 109615680 is about 10469.7507133647. The cubic root of 109615680 is about 478.5833229177.

It can be divided in two parts, 10961 and 5680, that added together give a square (16641 = 129²).

The spelling of 109615680 in words is "one hundred nine million, six hundred fifteen thousand, six hundred eighty".