105683305 has 48 divisors (see below), whose sum is σ = 166333824. Its totient is φ = 62899200.

The previous prime is 105683297. The next prime is 105683311. The reversal of 105683305 is 503386501.

It is not a de Polignac number, because 105683305 - 2³ = 105683297 is a prime.

It is a super-2 number, since 2×105683305² = 22337921911446050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 100030 + ... + 101080.

It is an arithmetic number, because the mean of its divisors is an integer number (3465288).

Almost surely, 2^105683305 is an apocalyptic number.

It is an amenable number.

105683305 is a deficient number, since it is larger than the sum of its proper divisors (60650519).

105683305 is a wasteful number, since it uses less digits than its factorization.

105683305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 105683305 is about 10280.2385672707. The cubic root of 105683305 is about 472.7905587621.

The spelling of 105683305 in words is "one hundred five million, six hundred eighty-three thousand, three hundred five".