109191168 has 84 divisors (see below), whose sum is σ = 315634878. Its totient is φ = 36372480.

The previous prime is 109191161. The next prime is 109191169. The reversal of 109191168 is 861191901.

It can be written as a sum of positive squares in only one way, i.e., 95883264 + 13307904 = 9792^2 + 3648^2 .

It is a super-2 number, since 2×109191168² = 23845422338408448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (109191161) 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 5 ways as a sum of consecutive naturals, for example, 72988 + ... + 74468.

Almost surely, 2^109191168 is an apocalyptic number.

109191168 is a gapful number since it is divisible by the number (18) 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 109191168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157817439).

109191168 is an abundant number, since it is smaller than the sum of its proper divisors (206443710).

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

109191168 is an equidigital number, since it uses as much as digits as its factorization.

109191168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

The square root of 109191168 is about 10449.4577849762. The cubic root of 109191168 is about 477.9647155668.

The spelling of 109191168 in words is "one hundred nine million, one hundred ninety-one thousand, one hundred sixty-eight".