109609344 has 144 divisors (see below), whose sum is σ = 342147780. Its totient is φ = 33666048.

The previous prime is 109609343. The next prime is 109609349. The reversal of 109609344 is 443906901.

109609344 is a `hidden beast` number, since 1 + 0 + 9 + 609 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×109609344² = 24028416584220672, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 109609299 and 109609308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109609343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194407 + ... + 194969.

Almost surely, 2^109609344 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 109609344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171073890).

109609344 is an abundant number, since it is smaller than the sum of its proper divisors (232538436).

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

109609344 is a wasteful number, since it uses less digits than its factorization.

109609344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 109609344 is about 10469.4481229910. The cubic root of 109609344 is about 478.5741017237.

The spelling of 109609344 in words is "one hundred nine million, six hundred nine thousand, three hundred forty-four".