109110144 has 128 divisors (see below), whose sum is σ = 340663680. Its totient is φ = 30504960.

The previous prime is 109110101. The next prime is 109110163. The reversal of 109110144 is 441011901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 109110144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53919 + ... + 55905.

It is an arithmetic number, because the mean of its divisors is an integer number (2661435).

Almost surely, 2^109110144 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 109110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170331840).

109110144 is an abundant number, since it is smaller than the sum of its proper divisors (231553536).

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

109110144 is a wasteful number, since it uses less digits than its factorization.

109110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 109110144 is about 10445.5801179255. The cubic root of 109110144 is about 477.8464636464.

The spelling of 109110144 in words is "one hundred nine million, one hundred ten thousand, one hundred forty-four".