105813195641 has 2 divisors, whose sum is σ = 105813195642. Its totient is φ = 105813195640.

The previous prime is 105813195619. The next prime is 105813195701. The reversal of 105813195641 is 146591318501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75405160000 + 30408035641 = 274600^2 + 174379^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105813195641 is a prime.

It is a super-2 number, since 2×105813195641² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105813195592 and 105813195601.

It is not a weakly prime, because it can be changed into another prime (105813195041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52906597820 + 52906597821.

It is an arithmetic number, because the mean of its divisors is an integer number (52906597821).

Almost surely, 2^105813195641 is an apocalyptic number.

It is an amenable number.

105813195641 is a deficient number, since it is larger than the sum of its proper divisors (1).

105813195641 is an equidigital number, since it uses as much as digits as its factorization.

105813195641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 44.

The spelling of 105813195641 in words is "one hundred five billion, eight hundred thirteen million, one hundred ninety-five thousand, six hundred forty-one".