110056320 has 320 divisors, whose sum is σ = 430982640. Its totient is φ = 26542080.

The previous prime is 110056313. The next prime is 110056337. The reversal of 110056320 is 23650011.

110056320 is a `hidden beast` number, since 1 + 100 + 563 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×110056320² = 24224787143884800, which contains 22 as substring.

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 = 110056293 and 110056302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 570144 + ... + 570336.

Almost surely, 2^110056320 is an apocalyptic number.

110056320 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 110056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215491320).

110056320 is an abundant number, since it is smaller than the sum of its proper divisors (320926320).

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

110056320 is a wasteful number, since it uses less digits than its factorization.

110056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 110056320 is about 10490.7730887671. The cubic root of 110056320 is about 479.2237453198.

The spelling of 110056320 in words is "one hundred ten million, fifty-six thousand, three hundred twenty".