109920680 has 64 divisors (see below), whose sum is σ = 260012160. Its totient is φ = 41741568.

The previous prime is 109920677. The next prime is 109920689. The reversal of 109920680 is 86029901.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 109920680.

It is not an unprimeable number, because it can be changed into a prime (109920689) 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, 149594 + ... + 150326.

It is an arithmetic number, because the mean of its divisors is an integer number (4062690).

Almost surely, 2^109920680 is an apocalyptic number.

109920680 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 109920680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130006080).

109920680 is an abundant number, since it is smaller than the sum of its proper divisors (150091480).

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

109920680 is a wasteful number, since it uses less digits than its factorization.

109920680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 109920680 is about 10484.3063671375. The cubic root of 109920680 is about 479.0267897029.

The spelling of 109920680 in words is "one hundred nine million, nine hundred twenty thousand, six hundred eighty".