109188144 has 240 divisors, whose sum is σ = 360726912. Its totient is φ = 30523392.

The previous prime is 109188133. The next prime is 109188151. The reversal of 109188144 is 441881901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109188099 and 109188108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1495692 + ... + 1495764.

Almost surely, 2^109188144 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 109188144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180363456).

109188144 is an abundant number, since it is smaller than the sum of its proper divisors (251538768).

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

109188144 is a wasteful number, since it uses less digits than its factorization.

109188144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 109188144 is about 10449.3130874713. The cubic root of 109188144 is about 477.9603031873.

The spelling of 109188144 in words is "one hundred nine million, one hundred eighty-eight thousand, one hundred forty-four".