105683105 has 32 divisors (see below), whose sum is σ = 144322560. Its totient is φ = 73588480.

The previous prime is 105683093. The next prime is 105683107. The reversal of 105683105 is 501386501.

It is not a de Polignac number, because 105683105 - 2⁶ = 105683041 is a prime.

It is a super-2 number, since 2×105683105² = 22337837364882050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (105683107) 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 31 ways as a sum of consecutive naturals, for example, 275744 + ... + 276126.

It is an arithmetic number, because the mean of its divisors is an integer number (4510080).

Almost surely, 2^105683105 is an apocalyptic number.

It is an amenable number.

105683105 is a deficient number, since it is larger than the sum of its proper divisors (38639455).

105683105 is a wasteful number, since it uses less digits than its factorization.

105683105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601.

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 105683105 is about 10280.2288398654. The cubic root of 105683105 is about 472.7902605183.

The spelling of 105683105 in words is "one hundred five million, six hundred eighty-three thousand, one hundred five".