110160 has 100 divisors (see below), whose sum is σ = 405108. Its totient is φ = 27648.

The previous prime is 110129. The next prime is 110161. The reversal of 110160 is 61011.

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 46656 = 252^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110161) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6472 + ... + 6488.

2¹¹⁰¹⁶⁰ is an apocalyptic number.

110160 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 110160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202554).

110160 is an abundant number, since it is smaller than the sum of its proper divisors (294948).

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

110160 is a wasteful number, since it uses less digits than its factorization.

110160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 110160 is about 331.9036004625. The cubic root of 110160 is about 47.9374184427.

Adding to 110160 its reverse (61011), we get a palindrome (171171).

The spelling of 110160 in words is "one hundred ten thousand, one hundred sixty".