109564224 has 112 divisors (see below), whose sum is σ = 361468416. Its totient is φ = 28454400.

The previous prime is 109564219. The next prime is 109564237. The reversal of 109564224 is 422465901.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11079 + ... + 18489.

Almost surely, 2^109564224 is an apocalyptic number.

109564224 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 109564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180734208).

109564224 is an abundant number, since it is smaller than the sum of its proper divisors (251904192).

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

109564224 is a wasteful number, since it uses less digits than its factorization.

109564224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7444 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 109564224 is about 10467.2930598126. The cubic root of 109564224 is about 478.5084253672.

The spelling of 109564224 in words is "one hundred nine million, five hundred sixty-four thousand, two hundred twenty-four".