109906160 has 160 divisors (see below), whose sum is σ = 325312512. Its totient is φ = 33592320.

The previous prime is 109906157. The next prime is 109906171. The reversal of 109906160 is 61609901.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 225437 + ... + 225923.

Almost surely, 2^109906160 is an apocalyptic number.

109906160 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 109906160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162656256).

109906160 is an abundant number, since it is smaller than the sum of its proper divisors (215406352).

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

109906160 is a wasteful number, since it uses less digits than its factorization.

109906160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 109906160 is about 10483.6138807188. The cubic root of 109906160 is about 479.0056963858.

The spelling of 109906160 in words is "one hundred nine million, nine hundred six thousand, one hundred sixty".