110920320 has 384 divisors, whose sum is σ = 460468800. Its totient is φ = 25159680.

The previous prime is 110920319. The next prime is 110920333. The reversal of 110920320 is 23029011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 110920293 and 110920302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846655 + ... + 846785.

Almost surely, 2^110920320 is an apocalyptic number.

110920320 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 110920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230234400).

110920320 is an abundant number, since it is smaller than the sum of its proper divisors (349548480).

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

110920320 is a wasteful number, since it uses less digits than its factorization.

110920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 110920320 is about 10531.8716285378. The cubic root of 110920320 is about 480.4745307216.

Adding to 110920320 its reverse (23029011), we get a palindrome (133949331).

The spelling of 110920320 in words is "one hundred ten million, nine hundred twenty thousand, three hundred twenty".