105633065341 has 2 divisors, whose sum is σ = 105633065342. Its totient is φ = 105633065340.

The previous prime is 105633065299. The next prime is 105633065357. The reversal of 105633065341 is 143560336501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104865221241 + 767844100 = 323829^2 + 27710^2 .

It is an emirp because it is prime and its reverse (143560336501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105633065341 - 2³³ = 97043130749 is a prime.

It is a super-2 number, since 2×105633065341² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105633065341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105633065141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52816532670 + 52816532671.

It is an arithmetic number, because the mean of its divisors is an integer number (52816532671).

Almost surely, 2^105633065341 is an apocalyptic number.

It is an amenable number.

105633065341 is a deficient number, since it is larger than the sum of its proper divisors (1).

105633065341 is an equidigital number, since it uses as much as digits as its factorization.

105633065341 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 97200, while the sum is 37.

The spelling of 105633065341 in words is "one hundred five billion, six hundred thirty-three million, sixty-five thousand, three hundred forty-one".