105329113 has 2 divisors, whose sum is σ = 105329114. Its totient is φ = 105329112.

The previous prime is 105329111. The next prime is 105329117. The reversal of 105329113 is 311923501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93857344 + 11471769 = 9688^2 + 3387^2 .

It is a cyclic number.

It is not a de Polignac number, because 105329113 - 2¹ = 105329111 is a prime.

It is a super-2 number, since 2×105329113² = 22188444090733538, which contains 22 as substring.

Together with 105329111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105329111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52664556 + 52664557.

It is an arithmetic number, because the mean of its divisors is an integer number (52664557).

Almost surely, 2^105329113 is an apocalyptic number.

It is an amenable number.

105329113 is a deficient number, since it is larger than the sum of its proper divisors (1).

105329113 is an equidigital number, since it uses as much as digits as its factorization.

105329113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 105329113 is about 10262.9972717525. The cubic root of 105329113 is about 472.2617901014.

The spelling of 105329113 in words is "one hundred five million, three hundred twenty-nine thousand, one hundred thirteen".