107967687809 has 32 divisors (see below), whose sum is σ = 115811942400. Its totient is φ = 100481641920.

The previous prime is 107967687787. The next prime is 107967687869. The reversal of 107967687809 is 908786769701.

It is a cyclic number.

It is not a de Polignac number, because 107967687809 - 2¹² = 107967683713 is a prime.

It is a super-2 number, since 2×107967687809² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107967687869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46758347 + ... + 46760655.

It is an arithmetic number, because the mean of its divisors is an integer number (3619123200).

Almost surely, 2^107967687809 is an apocalyptic number.

It is an amenable number.

107967687809 is a deficient number, since it is larger than the sum of its proper divisors (7844254591).

107967687809 is a wasteful number, since it uses less digits than its factorization.

107967687809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933.

The product of its (nonzero) digits is 64012032, while the sum is 68.

The spelling of 107967687809 in words is "one hundred seven billion, nine hundred sixty-seven million, six hundred eighty-seven thousand, eight hundred nine".