105223057 has 2 divisors, whose sum is σ = 105223058. Its totient is φ = 105223056.

The previous prime is 105223043. The next prime is 105223061. The reversal of 105223057 is 750322501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80928016 + 24295041 = 8996^2 + 4929^2 .

It is an emirp because it is prime and its reverse (750322501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105223057 is a prime.

It is a super-2 number, since 2×105223057² = 22143783448850498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105223457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52611528 + 52611529.

It is an arithmetic number, because the mean of its divisors is an integer number (52611529).

Almost surely, 2^105223057 is an apocalyptic number.

It is an amenable number.

105223057 is a deficient number, since it is larger than the sum of its proper divisors (1).

105223057 is an equidigital number, since it uses as much as digits as its factorization.

105223057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 105223057 is about 10257.8290588214. The cubic root of 105223057 is about 472.1032298989.

Adding to 105223057 its reverse (750322501), we get a palindrome (855545558).

The spelling of 105223057 in words is "one hundred five million, two hundred twenty-three thousand, fifty-seven".