109664960 has 112 divisors (see below), whose sum is σ = 291327840. Its totient is φ = 39075840.

The previous prime is 109664957. The next prime is 109664969. The reversal of 109664960 is 69466901.

It is not an unprimeable number, because it can be changed into a prime (109664969) 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 15 ways as a sum of consecutive naturals, for example, 102830 + ... + 103890.

Almost surely, 2^109664960 is an apocalyptic number.

109664960 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 109664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145663920).

109664960 is an abundant number, since it is smaller than the sum of its proper divisors (181662880).

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

109664960 is a wasteful number, since it uses less digits than its factorization.

109664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 109664960 is about 10472.1038955885. The cubic root of 109664960 is about 478.6550311889.

The spelling of 109664960 in words is "one hundred nine million, six hundred sixty-four thousand, nine hundred sixty".