109914660 has 72 divisors (see below), whose sum is σ = 334446840. Its totient is φ = 29219328.

The previous prime is 109914643. The next prime is 109914661. The reversal of 109914660 is 66419901.

109914660 is a `hidden beast` number, since 109 + 91 + 466 + 0 = 666.

109914660 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 53934336 + 55980324 = 7344^2 + 7482^2 .

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

109914660 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (109914661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72874 + ... + 74366.

It is an arithmetic number, because the mean of its divisors is an integer number (4645095).

Almost surely, 2^109914660 is an apocalyptic number.

109914660 is a gapful number since it is divisible by the number (10) 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 109914660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167223420).

109914660 is an abundant number, since it is smaller than the sum of its proper divisors (224532180).

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

109914660 is a wasteful number, since it uses less digits than its factorization.

109914660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 109914660 is about 10484.0192674375. The cubic root of 109914660 is about 479.0180446274.

It can be divided in two parts, 10991 and 4660, that added together give a palindrome (15651).

The spelling of 109914660 in words is "one hundred nine million, nine hundred fourteen thousand, six hundred sixty".