109980 has 72 divisors (see below), whose sum is σ = 366912. Its totient is φ = 26496.

The previous prime is 109961. The next prime is 109987. The reversal of 109980 is 89901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109987) by changing a digit.

109980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2317 + ... + 2363.

It is an arithmetic number, because the mean of its divisors is an integer number (5096).

2¹⁰⁹⁹⁸⁰ is an apocalyptic number.

109980 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 109980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456).

109980 is an abundant number, since it is smaller than the sum of its proper divisors (256932).

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

109980 is a wasteful number, since it uses less digits than its factorization.

109980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 109980 is about 331.6323265305. The cubic root of 109980 is about 47.9112945038.

It can be divided in two parts, 109 and 980, that added together give a square (1089 = 33²).

The spelling of 109980 in words is "one hundred nine thousand, nine hundred eighty".