110133 has 8 divisors (see below), whose sum is σ = 163200. Its totient is φ = 73404.

The previous prime is 110129. The next prime is 110161. The reversal of 110133 is 331011.

It is not a de Polignac number, because 110133 - 2² = 110129 is a prime.

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

110133 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110183) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2013 + ... + 2066.

It is an arithmetic number, because the mean of its divisors is an integer number (20400).

2¹¹⁰¹³³ is an apocalyptic number.

It is an amenable number.

110133 is a deficient number, since it is larger than the sum of its proper divisors (53067).

110133 is an equidigital number, since it uses as much as digits as its factorization.

110133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4082 counting only the distinct ones).

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

The square root of 110133 is about 331.8629235091. The cubic root of 110133 is about 47.9335016670.

Adding to 110133 its reverse (331011), we get a palindrome (441144).

It can be divided in two parts, 110 and 133, that added together give a 5-th power (243 = 3⁵).

The spelling of 110133 in words is "one hundred ten thousand, one hundred thirty-three".