110352 has 60 divisors (see below), whose sum is σ = 329840. Its totient is φ = 31680.

The previous prime is 110339. The next prime is 110359. The reversal of 110352 is 253011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (110359) by changing a digit.

110352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5799 + ... + 5817.

2¹¹⁰³⁵² is an apocalyptic number.

110352 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 110352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164920).

110352 is an abundant number, since it is smaller than the sum of its proper divisors (219488).

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

110352 is a wasteful number, since it uses less digits than its factorization.

110352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 110352 is about 332.1927151519. The cubic root of 110352 is about 47.9652526301.

Adding to 110352 its reverse (253011), we get a palindrome (363363).

The spelling of 110352 in words is "one hundred ten thousand, three hundred fifty-two".