110538 has 32 divisors (see below), whose sum is σ = 259200. Its totient is φ = 34848.

The previous prime is 110533. The next prime is 110543. The reversal of 110538 is 835011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110533) and next prime (110543).

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 110538.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 110538.

It is not an unprimeable number, because it can be changed into a prime (110533) by changing a digit.

110538 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1198 + ... + 1286.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2¹¹⁰⁵³⁸ is an apocalyptic number.

110538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600).

110538 is an abundant number, since it is smaller than the sum of its proper divisors (148662).

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

110538 is a wasteful number, since it uses less digits than its factorization.

110538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 110538 is about 332.4725552583. The cubic root of 110538 is about 47.9921862281.

Adding to 110538 its reverse (835011), we get a palindrome (945549).

The spelling of 110538 in words is "one hundred ten thousand, five hundred thirty-eight".