110985120 has 192 divisors, whose sum is σ = 405699840. Its totient is φ = 28283904.

The previous prime is 110985113. The next prime is 110985131. The reversal of 110985120 is 21589011.

It is a super-2 number, since 2×110985120² = 24635393722828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98802 + ... + 99918.

It is an arithmetic number, because the mean of its divisors is an integer number (2113020).

Almost surely, 2^110985120 is an apocalyptic number.

110985120 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 110985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202849920).

110985120 is an abundant number, since it is smaller than the sum of its proper divisors (294714720).

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

110985120 is a wasteful number, since it uses less digits than its factorization.

110985120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 110985120 is about 10534.9475556360. The cubic root of 110985120 is about 480.5680774182.

The spelling of 110985120 in words is "one hundred ten million, nine hundred eighty-five thousand, one hundred twenty".