105965256583 has 2 divisors, whose sum is σ = 105965256584. Its totient is φ = 105965256582.

The previous prime is 105965256581. The next prime is 105965256713. The reversal of 105965256583 is 385652569501.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105965256583 - 2¹ = 105965256581 is a prime.

It is a super-2 number, since 2×105965256583² (a number of 23 digits) contains 22 as substring.

Together with 105965256581, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105965256581) 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 as a sum of consecutive naturals, namely, 52982628291 + 52982628292.

It is an arithmetic number, because the mean of its divisors is an integer number (52982628292).

Almost surely, 2^105965256583 is an apocalyptic number.

105965256583 is a deficient number, since it is larger than the sum of its proper divisors (1).

105965256583 is an equidigital number, since it uses as much as digits as its factorization.

105965256583 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720000, while the sum is 55.

The spelling of 105965256583 in words is "one hundred five billion, nine hundred sixty-five million, two hundred fifty-six thousand, five hundred eighty-three".