109222318144 has 63 divisors (see below), whose sum is σ = 219323387997. Its totient is φ = 53967368448.

The previous prime is 109222318111. The next prime is 109222318169. The reversal of 109222318144 is 441813222901.

The square root of 109222318144 is 330488.

It is a perfect power (a square), and thus also a powerful number.

109222318144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 76127431744 + 33094886400 = 275912^2 + 181920^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 288185347 + ... + 288185725.

It is an arithmetic number, because the mean of its divisors is an integer number (3481323619).

Almost surely, 2^109222318144 is an apocalyptic number.

109222318144 is the 330488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109222318144

109222318144 is an abundant number, since it is smaller than the sum of its proper divisors (110101069853).

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

109222318144 is an frugal number, since it uses more digits than its factorization.

109222318144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 109222318144 in words is "one hundred nine billion, two hundred twenty-two million, three hundred eighteen thousand, one hundred forty-four".