110564320 has 48 divisors (see below), whose sum is σ = 263783520. Its totient is φ = 43789824.

The previous prime is 110564317. The next prime is 110564323. The reversal of 110564320 is 23465011.

110564320 = 421² + 422² + ... + 740².

It is an interprime number because it is at equal distance from previous prime (110564317) and next prime (110564323).

It is a junction number, because it is equal to n+sod(n) for n = 110564291 and 110564300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110564323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13126 + ... + 19834.

It is an arithmetic number, because the mean of its divisors is an integer number (5495490).

Almost surely, 2^110564320 is an apocalyptic number.

110564320 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 110564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131891760).

110564320 is an abundant number, since it is smaller than the sum of its proper divisors (153219200).

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

110564320 is a wasteful number, since it uses less digits than its factorization.

110564320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6827 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 110564320 is about 10514.9569661506. The cubic root of 110564320 is about 479.9599503622.

It can be divided in two parts, 11056 and 4320, that added together give a square (15376 = 124²).

The spelling of 110564320 in words is "one hundred ten million, five hundred sixty-four thousand, three hundred twenty".