107982809 has 16 divisors (see below), whose sum is σ = 119973120. Its totient is φ = 96370560.

The previous prime is 107982779. The next prime is 107982811. The reversal of 107982809 is 908289701.

It is not a de Polignac number, because 107982809 - 2²⁴ = 91205593 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 107982809.

It is not an unprimeable number, because it can be changed into a prime (107982859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271799 + ... + 272195.

It is an arithmetic number, because the mean of its divisors is an integer number (7498320).

Almost surely, 2^107982809 is an apocalyptic number.

It is an amenable number.

107982809 is a deficient number, since it is larger than the sum of its proper divisors (11990311).

107982809 is a wasteful number, since it uses less digits than its factorization.

107982809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800.

The product of its (nonzero) digits is 72576, while the sum is 44.

The square root of 107982809 is about 10391.4777101238. The cubic root of 107982809 is about 476.1950466465.

The spelling of 107982809 in words is "one hundred seven million, nine hundred eighty-two thousand, eight hundred nine".