105412320413 has 2 divisors, whose sum is σ = 105412320414. Its totient is φ = 105412320412.

The previous prime is 105412320379. The next prime is 105412320467. The reversal of 105412320413 is 314023214501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104175954169 + 1236366244 = 322763^2 + 35162^2 .

It is a cyclic number.

It is not a de Polignac number, because 105412320413 - 2¹⁶ = 105412254877 is a prime.

It is a super-2 number, since 2×105412320413² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105412323413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52706160206 + 52706160207.

It is an arithmetic number, because the mean of its divisors is an integer number (52706160207).

Almost surely, 2^105412320413 is an apocalyptic number.

It is an amenable number.

105412320413 is a deficient number, since it is larger than the sum of its proper divisors (1).

105412320413 is an equidigital number, since it uses as much as digits as its factorization.

105412320413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 105412320413 its reverse (314023214501), we get a palindrome (419435534914).

The spelling of 105412320413 in words is "one hundred five billion, four hundred twelve million, three hundred twenty thousand, four hundred thirteen".