105435413 has 2 divisors, whose sum is σ = 105435414. Its totient is φ = 105435412.

The previous prime is 105435401. The next prime is 105435431. The reversal of 105435413 is 314534501.

Together with next prime (105435431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105226564 + 208849 = 10258^2 + 457^2 .

It is a cyclic number.

It is not a de Polignac number, because 105435413 - 2⁴ = 105435397 is a prime.

It is a super-2 number, since 2×105435413² = 22233252628961138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105435443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52717706 + 52717707.

It is an arithmetic number, because the mean of its divisors is an integer number (52717707).

Almost surely, 2^105435413 is an apocalyptic number.

It is an amenable number.

105435413 is a deficient number, since it is larger than the sum of its proper divisors (1).

105435413 is an equidigital number, since it uses as much as digits as its factorization.

105435413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 105435413 is about 10268.1747647768. The cubic root of 105435413 is about 472.4206083308.

Adding to 105435413 its reverse (314534501), we get a palindrome (419969914).

The spelling of 105435413 in words is "one hundred five million, four hundred thirty-five thousand, four hundred thirteen".