110952 has 48 divisors (see below), whose sum is σ = 318240. Its totient is φ = 34848.

The previous prime is 110951. The next prime is 110969. The reversal of 110952 is 259011.

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

It is not an unprimeable number, because it can be changed into a prime (110951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1623 + ... + 1689.

It is an arithmetic number, because the mean of its divisors is an integer number (6630).

2¹¹⁰⁹⁵² is an apocalyptic number.

110952 is a gapful number since it is divisible by the number (12) 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 110952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159120).

110952 is an abundant number, since it is smaller than the sum of its proper divisors (207288).

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

110952 is a wasteful number, since it uses less digits than its factorization.

110952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 110952 is about 333.0945811628. The cubic root of 110952 is about 48.0520269213.

Adding to 110952 its reverse (259011), we get a palindrome (369963).

The spelling of 110952 in words is "one hundred ten thousand, nine hundred fifty-two".