105413051041 has 2 divisors, whose sum is σ = 105413051042. Its totient is φ = 105413051040.

The previous prime is 105413051011. The next prime is 105413051047. The reversal of 105413051041 is 140150314501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53666355600 + 51746695441 = 231660^2 + 227479^2 .

It is an emirp because it is prime and its reverse (140150314501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105413051041 - 2¹³ = 105413042849 is a prime.

It is a super-2 number, since 2×105413051041² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105413050997 and 105413051015.

It is not a weakly prime, because it can be changed into another prime (105413051047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52706525520 + 52706525521.

It is an arithmetic number, because the mean of its divisors is an integer number (52706525521).

Almost surely, 2^105413051041 is an apocalyptic number.

It is an amenable number.

105413051041 is a deficient number, since it is larger than the sum of its proper divisors (1).

105413051041 is an equidigital number, since it uses as much as digits as its factorization.

105413051041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 105413051041 its reverse (140150314501), we get a palindrome (245563365542).

The spelling of 105413051041 in words is "one hundred five billion, four hundred thirteen million, fifty-one thousand, forty-one".