105671985 has 16 divisors (see below), whose sum is σ = 169929600. Its totient is φ = 56073600.

The previous prime is 105671873. The next prime is 105671989. The reversal of 105671985 is 589176501.

It is not a de Polignac number, because 105671985 - 2⁷ = 105671857 is a prime.

It is a super-2 number, since 2×105671985² = 22333136827680450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105671989) 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 15 ways as a sum of consecutive naturals, for example, 14716 + ... + 20685.

It is an arithmetic number, because the mean of its divisors is an integer number (10620600).

Almost surely, 2^105671985 is an apocalyptic number.

105671985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105671985 is a deficient number, since it is larger than the sum of its proper divisors (64257615).

105671985 is a wasteful number, since it uses less digits than its factorization.

105671985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35608.

The product of its (nonzero) digits is 75600, while the sum is 42.

The square root of 105671985 is about 10279.6879816461. The cubic root of 105671985 is about 472.7736775709.

The spelling of 105671985 in words is "one hundred five million, six hundred seventy-one thousand, nine hundred eighty-five".