105431520413 has 2 divisors, whose sum is σ = 105431520414. Its totient is φ = 105431520412.

The previous prime is 105431520371. The next prime is 105431520449. The reversal of 105431520413 is 314025134501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86705513764 + 18726006649 = 294458^2 + 136843^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105431520413 is a prime.

It is a super-2 number, since 2×105431520413² (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 (105431520713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52715760206 + 52715760207.

It is an arithmetic number, because the mean of its divisors is an integer number (52715760207).

Almost surely, 2^105431520413 is an apocalyptic number.

It is an amenable number.

105431520413 is a deficient number, since it is larger than the sum of its proper divisors (1).

105431520413 is an equidigital number, since it uses as much as digits as its factorization.

105431520413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 105431520413 its reverse (314025134501), we get a palindrome (419456654914).

The spelling of 105431520413 in words is "one hundred five billion, four hundred thirty-one million, five hundred twenty thousand, four hundred thirteen".