107009884799 has 8 divisors (see below), whose sum is σ = 109110768000. Its totient is φ = 104918573592.

The previous prime is 107009884741. The next prime is 107009884823. The reversal of 107009884799 is 997488900701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 107009884799 - 2²⁴ = 106993107583 is a prime.

It is a super-2 number, since 2×107009884799² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107009881799) 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 7 ways as a sum of consecutive naturals, for example, 2370419 + ... + 2415140.

It is an arithmetic number, because the mean of its divisors is an integer number (13638846000).

Almost surely, 2^107009884799 is an apocalyptic number.

107009884799 is a deficient number, since it is larger than the sum of its proper divisors (2100883201).

107009884799 is an equidigital number, since it uses as much as digits as its factorization.

107009884799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785997.

The product of its (nonzero) digits is 9144576, while the sum is 62.

The spelling of 107009884799 in words is "one hundred seven billion, nine million, eight hundred eighty-four thousand, seven hundred ninety-nine".