109506816 has 90 divisors (see below), whose sum is σ = 326591342. Its totient is φ = 36495360.

The previous prime is 109506763. The next prime is 109506821. The reversal of 109506816 is 618605901.

It can be written as a sum of positive squares in only one way, i.e., 74649600 + 34857216 = 8640^2 + 5904^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18096 + ... + 23376.

Almost surely, 2^109506816 is an apocalyptic number.

109506816 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 109506816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163295671).

109506816 is an abundant number, since it is smaller than the sum of its proper divisors (217084526).

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

109506816 is an frugal number, since it uses more digits than its factorization.

109506816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5309 (or 5286 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 109506816 is about 10464.5504442379. The cubic root of 109506816 is about 478.4248366132.

It can be divided in two parts, 10950 and 6816, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 109506816 in words is "one hundred nine million, five hundred six thousand, eight hundred sixteen".