105325713 has 12 divisors (see below), whose sum is σ = 152297860. Its totient is φ = 70142976.

The previous prime is 105325699. The next prime is 105325733. The reversal of 105325713 is 317523501.

It can be written as a sum of positive squares in 2 ways, for example, as 75481344 + 29844369 = 8688^2 + 5463^2 .

It is not a de Polignac number, because 105325713 - 2⁹ = 105325201 is a prime.

It is a super-2 number, since 2×105325713² = 22187011637916738, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105325733) 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 in 11 ways as a sum of consecutive naturals, for example, 3633 + ... + 14961.

Almost surely, 2^105325713 is an apocalyptic number.

It is an amenable number.

105325713 is a deficient number, since it is larger than the sum of its proper divisors (46972147).

105325713 is a wasteful number, since it uses less digits than its factorization.

105325713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12368 (or 12365 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 105325713 is about 10262.8316267977. The cubic root of 105325713 is about 472.2567085454.

The spelling of 105325713 in words is "one hundred five million, three hundred twenty-five thousand, seven hundred thirteen".