109062144 has 144 divisors (see below), whose sum is σ = 323455860. Its totient is φ = 35389440.

The previous prime is 109062143. The next prime is 109062167. The reversal of 109062144 is 441260901.

It can be written as a sum of positive squares in 2 ways, for example, as 97772544 + 11289600 = 9888^2 + 3360^2 .

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

It is not an unprimeable number, because it can be changed into a prime (109062143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1124304 + ... + 1124400.

Almost surely, 2^109062144 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 109062144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161727930).

109062144 is an abundant number, since it is smaller than the sum of its proper divisors (214393716).

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

109062144 is an equidigital number, since it uses as much as digits as its factorization.

109062144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 109062144 is about 10443.2822426668. The cubic root of 109062144 is about 477.7763815756.

The spelling of 109062144 in words is "one hundred nine million, sixty-two thousand, one hundred forty-four".