105365601533 has 2 divisors, whose sum is σ = 105365601534. Its totient is φ = 105365601532.

The previous prime is 105365601443. The next prime is 105365601587. The reversal of 105365601533 is 335106563501.

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., 88915486969 + 16450114564 = 298187^2 + 128258^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105365601533 is a prime.

It is a super-2 number, since 2×105365601533² (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 (105365601433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52682800766 + 52682800767.

It is an arithmetic number, because the mean of its divisors is an integer number (52682800767).

Almost surely, 2^105365601533 is an apocalyptic number.

It is an amenable number.

105365601533 is a deficient number, since it is larger than the sum of its proper divisors (1).

105365601533 is an equidigital number, since it uses as much as digits as its factorization.

105365601533 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 121500, while the sum is 38.

The spelling of 105365601533 in words is "one hundred five billion, three hundred sixty-five million, six hundred one thousand, five hundred thirty-three".