109357872 has 160 divisors (see below), whose sum is σ = 329353920. Its totient is φ = 31150080.

The previous prime is 109357837. The next prime is 109357877. The reversal of 109357872 is 278753901.

It is not an unprimeable number, because it can be changed into a prime (109357877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1792722 + ... + 1792782.

It is an arithmetic number, because the mean of its divisors is an integer number (2058462).

Almost surely, 2^109357872 is an apocalyptic number.

109357872 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 109357872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164676960).

109357872 is an abundant number, since it is smaller than the sum of its proper divisors (219996048).

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

109357872 is a wasteful number, since it uses less digits than its factorization.

109357872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 109357872 is about 10457.4314245899. The cubic root of 109357872 is about 478.2078308201.

The spelling of 109357872 in words is "one hundred nine million, three hundred fifty-seven thousand, eight hundred seventy-two".