110720 has 32 divisors (see below), whose sum is σ = 266220. Its totient is φ = 44032.

The previous prime is 110711. The next prime is 110729. The reversal of 110720 is 27011.

It is an interprime number because it is at equal distance from previous prime (110711) and next prime (110729).

It can be written as a sum of positive squares in 2 ways, for example, as 107584 + 3136 = 328^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (110729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 554 + ... + 726.

2¹¹⁰⁷²⁰ is an apocalyptic number.

110720 is a gapful number since it is divisible by the number (10) 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 110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133110).

110720 is an abundant number, since it is smaller than the sum of its proper divisors (155500).

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

110720 is an equidigital number, since it uses as much as digits as its factorization.

110720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 110720 is about 332.7461494894. The cubic root of 110720 is about 48.0185113786.

Adding to 110720 its reverse (27011), we get a palindrome (137731).

The spelling of 110720 in words is "one hundred ten thousand, seven hundred twenty", and thus it is an iban number.