107804259391689 has 81 divisors (see below), whose sum is σ = 182504343080007. Its totient is φ = 61142056905888.

The previous prime is 107804259391687. The next prime is 107804259391771. The reversal of 107804259391689 is 986193952408701.

The square root of 107804259391689 is 10382883.

It is a perfect power (a square), and thus also a powerful number.

107804259391689 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 0 + 425 + 9 + 39 + 168 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13207082564025 + 94597176827664 = 3634155^2 + 9726108^2 .

It is not a de Polignac number, because 107804259391689 - 2¹ = 107804259391687 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107804259391687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30307633699 + ... + 30307637255.

It is a 1-persistent number, because it is pandigital, but 2⋅107804259391689 = 215608518783378 is not.

Almost surely, 2^{107804259391689} is an apocalyptic number.

107804259391689 is the 10382883-rd square number.

107804259391689 is the 5191442-nd centered octagonal number.

It is an amenable number.

107804259391689 is a deficient number, since it is larger than the sum of its proper divisors (74700083688318).

107804259391689 is an frugal number, since it uses more digits than its factorization.

107804259391689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7412 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 107804259391689 in words is "one hundred seven trillion, eight hundred four billion, two hundred fifty-nine million, three hundred ninety-one thousand, six hundred eighty-nine".