110268 has 24 divisors (see below), whose sum is σ = 286160. Its totient is φ = 36720.

The previous prime is 110261. The next prime is 110269. The reversal of 110268 is 862011.

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

It is a self number, because there is not a number n which added to its sum of digits gives 110268.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 110268.

It is not an unprimeable number, because it can be changed into a prime (110261) by changing a digit.

110268 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 7 ways as a sum of consecutive naturals, for example, 403 + ... + 618.

2¹¹⁰²⁶⁸ is an apocalyptic number.

110268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

110268 is an abundant number, since it is smaller than the sum of its proper divisors (175892).

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

110268 is a wasteful number, since it uses less digits than its factorization.

110268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 110268 is about 332.0662584485. The cubic root of 110268 is about 47.9530791490.

Adding to 110268 its reverse (862011), we get a palindrome (972279).

It can be divided in two parts, 110 and 268, that added together give a triangular number (378 = T₂₇).

The spelling of 110268 in words is "one hundred ten thousand, two hundred sixty-eight".