109164224 has 56 divisors (see below), whose sum is σ = 234909360. Its totient is φ = 50033664.

The previous prime is 109164193. The next prime is 109164227. The reversal of 109164224 is 422461901.

It is not an unprimeable number, because it can be changed into a prime (109164227) 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 7 ways as a sum of consecutive naturals, for example, 148562 + ... + 149294.

It is an arithmetic number, because the mean of its divisors is an integer number (4194810).

Almost surely, 2^109164224 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 109164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117454680).

109164224 is an abundant number, since it is smaller than the sum of its proper divisors (125745136).

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

109164224 is a wasteful number, since it uses less digits than its factorization.

109164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 109164224 is about 10448.1684519345. The cubic root of 109164224 is about 477.9253981600.

The spelling of 109164224 in words is "one hundred nine million, one hundred sixty-four thousand, two hundred twenty-four".