110980 has 24 divisors (see below), whose sum is σ = 241920. Its totient is φ = 42720.

The previous prime is 110977. The next prime is 110989. The reversal of 110980 is 89011.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (110989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531 + ... + 709.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹¹⁰⁹⁸⁰ is an apocalyptic number.

110980 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 110980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

110980 is an abundant number, since it is smaller than the sum of its proper divisors (130940).

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

110980 is a wasteful number, since it uses less digits than its factorization.

110980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 110980 is about 333.1366086157. The cubic root of 110980 is about 48.0560687399.

Adding to 110980 its reverse (89011), we get a palindrome (199991).

The spelling of 110980 in words is "one hundred ten thousand, nine hundred eighty".