10105611641 has 2 divisors, whose sum is σ = 10105611642. Its totient is φ = 10105611640.

The previous prime is 10105611629. The next prime is 10105611667. The reversal of 10105611641 is 14611650101.

It is an a-pointer prime, because the next prime (10105611667) can be obtained adding 10105611641 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9596161600 + 509450041 = 97960^2 + 22571^2 .

It is a cyclic number.

It is not a de Polignac number, because 10105611641 - 2²⁶ = 10038502777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10105611641.

It is not a weakly prime, because it can be changed into another prime (10105611671) 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, 5052805820 + 5052805821.

It is an arithmetic number, because the mean of its divisors is an integer number (5052805821).

Almost surely, 2^10105611641 is an apocalyptic number.

It is an amenable number.

10105611641 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105611641 is an equidigital number, since it uses as much as digits as its factorization.

10105611641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 26.

The spelling of 10105611641 in words is "ten billion, one hundred five million, six hundred eleven thousand, six hundred forty-one".