110087120 has 80 divisors (see below), whose sum is σ = 300730752. Its totient is φ = 36948480.

The previous prime is 110087119. The next prime is 110087129. The reversal of 110087120 is 21780011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 110087092 and 110087101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110087129) 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, 6629 + ... + 16251.

Almost surely, 2^110087120 is an apocalyptic number.

110087120 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 110087120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150365376).

110087120 is an abundant number, since it is smaller than the sum of its proper divisors (190643632).

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

110087120 is a wasteful number, since it uses less digits than its factorization.

110087120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9660 (or 9654 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 20.

The square root of 110087120 is about 10492.2409427157. The cubic root of 110087120 is about 479.2684458109.

The spelling of 110087120 in words is "one hundred ten million, eighty-seven thousand, one hundred twenty".