109188816 has 80 divisors (see below), whose sum is σ = 309408768. Its totient is φ = 32905600.

The previous prime is 109188787. The next prime is 109188853. The reversal of 109188816 is 618881901.

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, 119401 + ... + 120311.

Almost surely, 2^109188816 is an apocalyptic number.

109188816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109188816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154704384).

109188816 is an abundant number, since it is smaller than the sum of its proper divisors (200219952).

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

109188816 is a wasteful number, since it uses less digits than its factorization.

109188816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 42.

The square root of 109188816 is about 10449.3452426456. The cubic root of 109188816 is about 477.9612837231.

The spelling of 109188816 in words is "one hundred nine million, one hundred eighty-eight thousand, eight hundred sixteen".