105686303 has 16 divisors (see below), whose sum is σ = 114491520. Its totient is φ = 97233696.

The previous prime is 105686281. The next prime is 105686327. The reversal of 105686303 is 303686501.

It is a cyclic number.

It is not a de Polignac number, because 105686303 - 2¹² = 105682207 is a prime.

It is a super-2 number, since 2×105686303² = 22339189283615618, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105686303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105686003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226076 + ... + 226542.

It is an arithmetic number, because the mean of its divisors is an integer number (7155720).

Almost surely, 2^105686303 is an apocalyptic number.

105686303 is a deficient number, since it is larger than the sum of its proper divisors (8805217).

105686303 is a wasteful number, since it uses less digits than its factorization.

105686303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806.

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 105686303 is about 10280.3843799733. The cubic root of 105686303 is about 472.7950293916.

The spelling of 105686303 in words is "one hundred five million, six hundred eighty-six thousand, three hundred three".