105435434413 has 2 divisors, whose sum is σ = 105435434414. Its totient is φ = 105435434412.

The previous prime is 105435434411. The next prime is 105435434441. The reversal of 105435434413 is 314434534501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99163269604 + 6272164809 = 314902^2 + 79197^2 .

It is a cyclic number.

It is not a de Polignac number, because 105435434413 - 2¹ = 105435434411 is a prime.

It is a super-2 number, since 2×105435434413² (a number of 23 digits) contains 22 as substring.

Together with 105435434411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105435434411) 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, 52717717206 + 52717717207.

It is an arithmetic number, because the mean of its divisors is an integer number (52717717207).

Almost surely, 2^105435434413 is an apocalyptic number.

It is an amenable number.

105435434413 is a deficient number, since it is larger than the sum of its proper divisors (1).

105435434413 is an equidigital number, since it uses as much as digits as its factorization.

105435434413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 105435434413 its reverse (314434534501), we get a palindrome (419869968914).

The spelling of 105435434413 in words is "one hundred five billion, four hundred thirty-five million, four hundred thirty-four thousand, four hundred thirteen".