105206329 has 2 divisors, whose sum is σ = 105206330. Its totient is φ = 105206328.

The previous prime is 105206327. The next prime is 105206341. The reversal of 105206329 is 923602501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100540729 + 4665600 = 10027^2 + 2160^2 .

It is an emirp because it is prime and its reverse (923602501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105206329 - 2¹ = 105206327 is a prime.

It is a super-2 number, since 2×105206329² = 22136743323312482, which contains 22 as substring.

Together with 105206327, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105206297 and 105206306.

It is not a weakly prime, because it can be changed into another prime (105206323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52603164 + 52603165.

It is an arithmetic number, because the mean of its divisors is an integer number (52603165).

Almost surely, 2^105206329 is an apocalyptic number.

It is an amenable number.

105206329 is a deficient number, since it is larger than the sum of its proper divisors (1).

105206329 is an equidigital number, since it uses as much as digits as its factorization.

105206329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 105206329 is about 10257.0136492061. The cubic root of 105206329 is about 472.0782107901.

The spelling of 105206329 in words is "one hundred five million, two hundred six thousand, three hundred twenty-nine".