105413041 has 2 divisors, whose sum is σ = 105413042. Its totient is φ = 105413040.

The previous prime is 105413027. The next prime is 105413047. The reversal of 105413041 is 140314501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103225600 + 2187441 = 10160^2 + 1479^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105413041 is a prime.

It is a super-2 number, since 2×105413041² = 22223818425735362, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105413047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52706520 + 52706521.

It is an arithmetic number, because the mean of its divisors is an integer number (52706521).

Almost surely, 2^105413041 is an apocalyptic number.

It is an amenable number.

105413041 is a deficient number, since it is larger than the sum of its proper divisors (1).

105413041 is an equidigital number, since it uses as much as digits as its factorization.

105413041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 105413041 is about 10267.0853215506. The cubic root of 105413041 is about 472.3871921658.

Adding to 105413041 its reverse (140314501), we get a palindrome (245727542).

The spelling of 105413041 in words is "one hundred five million, four hundred thirteen thousand, forty-one".