110090120 has 64 divisors (see below), whose sum is σ = 283996800. Its totient is φ = 37624320.

The previous prime is 110090117. The next prime is 110090129. The reversal of 110090120 is 21090011.

It is a super-2 number, since 2×110090120² = 24239669043228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 110090095 and 110090104.

It is not an unprimeable number, because it can be changed into a prime (110090129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158975 + ... + 159665.

It is an arithmetic number, because the mean of its divisors is an integer number (4437450).

Almost surely, 2^110090120 is an apocalyptic number.

110090120 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 110090120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141998400).

110090120 is an abundant number, since it is smaller than the sum of its proper divisors (173906680).

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

110090120 is a wasteful number, since it uses less digits than its factorization.

110090120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 110090120 is about 10492.3839045281. The cubic root of 110090120 is about 479.2727993092.

The spelling of 110090120 in words is "one hundred ten million, ninety thousand, one hundred twenty".