109920720 has 240 divisors, whose sum is σ = 427472640. Its totient is φ = 23159808.

The previous prime is 109920697. The next prime is 109920721. The reversal of 109920720 is 27029901.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109920721) 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 47 ways as a sum of consecutive naturals, for example, 152521 + ... + 153239.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 2^109920720 is an apocalyptic number.

109920720 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 109920720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

109920720 is an abundant number, since it is smaller than the sum of its proper divisors (317551920).

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

109920720 is a wasteful number, since it uses less digits than its factorization.

109920720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 109920720 is about 10484.3082747504. The cubic root of 109920720 is about 479.0268478086.

The spelling of 109920720 in words is "one hundred nine million, nine hundred twenty thousand, seven hundred twenty".