109918872 has 96 divisors (see below), whose sum is σ = 360266400. Its totient is φ = 29555712.

The previous prime is 109918871. The next prime is 109918883. The reversal of 109918872 is 278819901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109918871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2154 + ... + 14982.

It is an arithmetic number, because the mean of its divisors is an integer number (3752775).

Almost surely, 2^109918872 is an apocalyptic number.

109918872 is a gapful number since it is divisible by the number (12) 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 109918872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180133200).

109918872 is an abundant number, since it is smaller than the sum of its proper divisors (250347528).

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

109918872 is a wasteful number, since it uses less digits than its factorization.

109918872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12865 (or 12858 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 109918872 is about 10484.2201426716. The cubic root of 109918872 is about 479.0241633085.

The spelling of 109918872 in words is "one hundred nine million, nine hundred eighteen thousand, eight hundred seventy-two".