105313141 has 2 divisors, whose sum is σ = 105313142. Its totient is φ = 105313140.

The previous prime is 105313129. The next prime is 105313151. The reversal of 105313141 is 141313501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94284100 + 11029041 = 9710^2 + 3321^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105313141 is a prime.

It is a super-2 number, since 2×105313141² = 22181715334571762, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105313111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52656570 + 52656571.

It is an arithmetic number, because the mean of its divisors is an integer number (52656571).

Almost surely, 2^105313141 is an apocalyptic number.

It is an amenable number.

105313141 is a deficient number, since it is larger than the sum of its proper divisors (1).

105313141 is an equidigital number, since it uses as much as digits as its factorization.

105313141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 105313141 is about 10262.2191069963. The cubic root of 105313141 is about 472.2379177949.

Adding to 105313141 its reverse (141313501), we get a palindrome (246626642).

The spelling of 105313141 in words is "one hundred five million, three hundred thirteen thousand, one hundred forty-one".