110812320 has 192 divisors, whose sum is σ = 392999040. Its totient is φ = 29159424.

The previous prime is 110812319. The next prime is 110812379. The reversal of 110812320 is 23218011.

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

It is a junction number, because it is equal to n+sod(n) for n = 110812293 and 110812302.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 488047 + ... + 488273.

It is an arithmetic number, because the mean of its divisors is an integer number (2046870).

Almost surely, 2^110812320 is an apocalyptic number.

110812320 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 110812320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196499520).

110812320 is an abundant number, since it is smaller than the sum of its proper divisors (282186720).

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

110812320 is a wasteful number, since it uses less digits than its factorization.

110812320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 350 counting only the distinct ones).

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

The square root of 110812320 is about 10526.7430860642. The cubic root of 110812320 is about 480.3185385640.

The spelling of 110812320 in words is "one hundred ten million, eight hundred twelve thousand, three hundred twenty".