109509120 has 360 divisors, whose sum is σ = 445729284. Its totient is φ = 24772608.

The previous prime is 109509119. The next prime is 109509131. The reversal of 109509120 is 21905901.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 108493056 + 1016064 = 10416^2 + 1008^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1128912 + ... + 1129008.

Almost surely, 2^109509120 is an apocalyptic number.

109509120 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 109509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222864642).

109509120 is an abundant number, since it is smaller than the sum of its proper divisors (336220164).

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

109509120 is an equidigital number, since it uses as much as digits as its factorization.

109509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 109509120 is about 10464.6605296111. The cubic root of 109509120 is about 478.4281919084.

The spelling of 109509120 in words is "one hundred nine million, five hundred nine thousand, one hundred twenty".