109341216 has 144 divisors (see below), whose sum is σ = 330640128. Its totient is φ = 34214400.

The previous prime is 109341209. The next prime is 109341259. The reversal of 109341216 is 612143901.

109341216 is a `hidden beast` number, since 109 + 341 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 109341216.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330171 + ... + 330501.

It is an arithmetic number, because the mean of its divisors is an integer number (2296112).

Almost surely, 2^109341216 is an apocalyptic number.

109341216 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 109341216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165320064).

109341216 is an abundant number, since it is smaller than the sum of its proper divisors (221298912).

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

109341216 is a wasteful number, since it uses less digits than its factorization.

109341216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 109341216 is about 10456.6350227977. The cubic root of 109341216 is about 478.1835514095.

The spelling of 109341216 in words is "one hundred nine million, three hundred forty-one thousand, two hundred sixteen".