105329817 has 12 divisors (see below), whose sum is σ = 152481940. Its totient is φ = 70063488.

The previous prime is 105329803. The next prime is 105329843. The reversal of 105329817 is 718923501.

It can be written as a sum of positive squares in 2 ways, for example, as 100881936 + 4447881 = 10044^2 + 2109^2 .

It is not a de Polignac number, because 105329817 - 2¹⁸ = 105067673 is a prime.

It is a super-2 number, since 2×105329817² = 22188740698506978, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105329897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8692 + ... + 16917.

Almost surely, 2^105329817 is an apocalyptic number.

It is an amenable number.

105329817 is a deficient number, since it is larger than the sum of its proper divisors (47152123).

105329817 is a wasteful number, since it uses less digits than its factorization.

105329817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26072 (or 26069 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 105329817 is about 10263.0315696679. The cubic root of 105329817 is about 472.2628422687.

The spelling of 105329817 in words is "one hundred five million, three hundred twenty-nine thousand, eight hundred seventeen".