105329117 has 2 divisors, whose sum is σ = 105329118. Its totient is φ = 105329116.

The previous prime is 105329113. The next prime is 105329173. The reversal of 105329117 is 711923501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77334436 + 27994681 = 8794^2 + 5291^2 .

It is a cyclic number.

It is not a de Polignac number, because 105329117 - 2² = 105329113 is a prime.

It is a super-2 number, since 2×105329117² = 22188445775999378, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105329117.

It is a congruent number.

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, 52664558 + 52664559.

It is an arithmetic number, because the mean of its divisors is an integer number (52664559).

Almost surely, 2^105329117 is an apocalyptic number.

It is an amenable number.

105329117 is a deficient number, since it is larger than the sum of its proper divisors (1).

105329117 is an equidigital number, since it uses as much as digits as its factorization.

105329117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 105329117 is about 10262.9974666274. The cubic root of 105329117 is about 472.2617960796.

The spelling of 105329117 in words is "one hundred five million, three hundred twenty-nine thousand, one hundred seventeen".