110080 has 40 divisors (see below), whose sum is σ = 270072. Its totient is φ = 43008.

The previous prime is 110069. The next prime is 110083. The reversal of 110080 is 80011.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2539 + ... + 2581.

2¹¹⁰⁰⁸⁰ is an apocalyptic number.

110080 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 110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135036).

110080 is an abundant number, since it is smaller than the sum of its proper divisors (159992).

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

110080 is an frugal number, since it uses more digits than its factorization.

110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 110080 is about 331.7830616532. The cubic root of 110080 is about 47.9258113192.

Adding to 110080 its reverse (80011), we get a palindrome (190091).

The spelling of 110080 in words is "one hundred ten thousand, eighty".