109975680 has 192 divisors, whose sum is σ = 387218520. Its totient is φ = 28753920.

The previous prime is 109975661. The next prime is 109975681. The reversal of 109975680 is 86579901.

It can be written as a sum of positive squares in 4 ways, for example, as 21013056 + 88962624 = 4584^2 + 9432^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (109975681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351204 + ... + 351516.

Almost surely, 2^109975680 is an apocalyptic number.

109975680 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 109975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193609260).

109975680 is an abundant number, since it is smaller than the sum of its proper divisors (277242840).

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

109975680 is a wasteful number, since it uses less digits than its factorization.

109975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 109975680 is about 10486.9290071021. The cubic root of 109975680 is about 479.1066717912.

The spelling of 109975680 in words is "one hundred nine million, nine hundred seventy-five thousand, six hundred eighty".