109920 has 48 divisors (see below), whose sum is σ = 347760. Its totient is φ = 29184.

The previous prime is 109919. The next prime is 109937. The reversal of 109920 is 29901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 109920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 366 + ... + 594.

It is an arithmetic number, because the mean of its divisors is an integer number (7245).

2¹⁰⁹⁹²⁰ is an apocalyptic number.

109920 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 109920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173880).

109920 is an abundant number, since it is smaller than the sum of its proper divisors (237840).

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

109920 is a wasteful number, since it uses less digits than its factorization.

109920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 109920 is about 331.5418525616. The cubic root of 109920 is about 47.9025801903.

The spelling of 109920 in words is "one hundred nine thousand, nine hundred twenty".