109344564 has 72 divisors (see below), whose sum is σ = 326097408. Its totient is φ = 30231360.

The previous prime is 109344551. The next prime is 109344569. The reversal of 109344564 is 465443901.

109344564 is a `hidden beast` number, since 1 + 0 + 93 + 4 + 4 + 564 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109344569) 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, 814 + ... + 14810.

Almost surely, 2^109344564 is an apocalyptic number.

109344564 is a gapful number since it is divisible by the number (14) 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 109344564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163048704).

109344564 is an abundant number, since it is smaller than the sum of its proper divisors (216752844).

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

109344564 is a wasteful number, since it uses less digits than its factorization.

109344564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14045 (or 14040 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 109344564 is about 10456.7951113140. The cubic root of 109344564 is about 478.1884319789.

The spelling of 109344564 in words is "one hundred nine million, three hundred forty-four thousand, five hundred sixty-four".