105976791637 has 2 divisors, whose sum is σ = 105976791638. Its totient is φ = 105976791636.

The previous prime is 105976791619. The next prime is 105976791647. The reversal of 105976791637 is 736197679501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86432472036 + 19544319601 = 293994^2 + 139801^2 .

It is a cyclic number.

It is not a de Polignac number, because 105976791637 - 2¹⁹ = 105976267349 is a prime.

It is a super-2 number, since 2×105976791637² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105976791647) 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 as a sum of consecutive naturals, namely, 52988395818 + 52988395819.

It is an arithmetic number, because the mean of its divisors is an integer number (52988395819).

Almost surely, 2^105976791637 is an apocalyptic number.

It is an amenable number.

105976791637 is a deficient number, since it is larger than the sum of its proper divisors (1).

105976791637 is an equidigital number, since it uses as much as digits as its factorization.

105976791637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15002820, while the sum is 61.

The spelling of 105976791637 in words is "one hundred five billion, nine hundred seventy-six million, seven hundred ninety-one thousand, six hundred thirty-seven".