105435361 has 2 divisors, whose sum is σ = 105435362. Its totient is φ = 105435360.

The previous prime is 105435359. The next prime is 105435397. The reversal of 105435361 is 163534501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95550625 + 9884736 = 9775^2 + 3144^2 .

It is a cyclic number.

It is not a de Polignac number, because 105435361 - 2¹ = 105435359 is a prime.

It is a super-2 number, since 2×105435361² = 22233230698400642, which contains 22 as substring.

Together with 105435359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105430361) 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, 52717680 + 52717681.

It is an arithmetic number, because the mean of its divisors is an integer number (52717681).

Almost surely, 2^105435361 is an apocalyptic number.

It is an amenable number.

105435361 is a deficient number, since it is larger than the sum of its proper divisors (1).

105435361 is an equidigital number, since it uses as much as digits as its factorization.

105435361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 105435361 is about 10268.1722326809. The cubic root of 105435361 is about 472.4205306659.

Adding to 105435361 its reverse (163534501), we get a palindrome (268969862).

The spelling of 105435361 in words is "one hundred five million, four hundred thirty-five thousand, three hundred sixty-one".