105355263241 has 2 divisors, whose sum is σ = 105355263242. Its totient is φ = 105355263240.

The previous prime is 105355263203. The next prime is 105355263257. The reversal of 105355263241 is 142362553501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96724110025 + 8631153216 = 311005^2 + 92904^2 .

It is a cyclic number.

It is not a de Polignac number, because 105355263241 - 2²¹ = 105353166089 is a prime.

It is a super-2 number, since 2×105355263241² (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 105355263241.

It is not a weakly prime, because it can be changed into another prime (105355263271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52677631620 + 52677631621.

It is an arithmetic number, because the mean of its divisors is an integer number (52677631621).

Almost surely, 2^105355263241 is an apocalyptic number.

It is an amenable number.

105355263241 is a deficient number, since it is larger than the sum of its proper divisors (1).

105355263241 is an equidigital number, since it uses as much as digits as its factorization.

105355263241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 105355263241 in words is "one hundred five billion, three hundred fifty-five million, two hundred sixty-three thousand, two hundred forty-one".