109331872 has 48 divisors (see below), whose sum is σ = 234488520. Its totient is φ = 49876992.

The previous prime is 109331867. The next prime is 109331923. The reversal of 109331872 is 278133901.

It can be written as a sum of positive squares in 4 ways, for example, as 76108176 + 33223696 = 8724^2 + 5764^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35548 + ... + 38500.

Almost surely, 2^109331872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109331872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117244260).

109331872 is an abundant number, since it is smaller than the sum of its proper divisors (125156648).

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

109331872 is a wasteful number, since it uses less digits than its factorization.

109331872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 109331872 is about 10456.1882155975. The cubic root of 109331872 is about 478.1699296038.

It can be divided in two parts, 10933 and 1872, that multiplied together give a square (20466576 = 4524²).

The spelling of 109331872 in words is "one hundred nine million, three hundred thirty-one thousand, eight hundred seventy-two".