110088 has 48 divisors (see below), whose sum is σ = 327600. Its totient is φ = 33120.

The previous prime is 110083. The next prime is 110119. The reversal of 110088 is 880011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 110088.

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

110088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 723 + ... + 861.

It is an arithmetic number, because the mean of its divisors is an integer number (6825).

2¹¹⁰⁰⁸⁸ is an apocalyptic number.

110088 is a gapful number since it is divisible by the number (18) 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 110088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163800).

110088 is an abundant number, since it is smaller than the sum of its proper divisors (217512).

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

110088 is a wasteful number, since it uses less digits than its factorization.

110088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 110088 is about 331.7951175048. The cubic root of 110088 is about 47.9269722845.

110088 divided by its sum of digits (18) gives a palindrome (6116).

Adding to 110088 its reverse (880011), we get a palindrome (990099).

The spelling of 110088 in words is "one hundred ten thousand, eighty-eight".