109911168 has 80 divisors (see below), whose sum is σ = 327124710. Its totient is φ = 36633600.

The previous prime is 109911157. The next prime is 109911169. The reversal of 109911168 is 861119901.

It can be written as a sum of positive squares in only one way, i.e., 75898944 + 34012224 = 8712^2 + 5832^2 .

It is a super-3 number, since 3×109911168³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (109911169) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5068 + ... + 15668.

Almost surely, 2^109911168 is an apocalyptic number.

109911168 is a gapful number since it is divisible by the number (18) 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 109911168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163562355).

109911168 is an abundant number, since it is smaller than the sum of its proper divisors (217213542).

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

109911168 is an equidigital number, since it uses as much as digits as its factorization.

109911168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10627 (or 10606 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

The square root of 109911168 is about 10483.8527269320. The cubic root of 109911168 is about 479.0129717563.

The spelling of 109911168 in words is "one hundred nine million, nine hundred eleven thousand, one hundred sixty-eight".