105873985 has 16 divisors (see below), whose sum is σ = 152841600. Its totient is φ = 68777856.

The previous prime is 105873967. The next prime is 105874031. The reversal of 105873985 is 589378501.

It is not a de Polignac number, because 105873985 - 2¹⁵ = 105841217 is a prime.

It is a super-2 number, since 2×105873985² = 22418601399560450, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 78940 + ... + 80269.

It is an arithmetic number, because the mean of its divisors is an integer number (9552600).

Almost surely, 2^105873985 is an apocalyptic number.

It is an amenable number.

105873985 is a deficient number, since it is larger than the sum of its proper divisors (46967615).

105873985 is a wasteful number, since it uses less digits than its factorization.

105873985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159240.

The product of its (nonzero) digits is 302400, while the sum is 46.

The square root of 105873985 is about 10289.5084916628. The cubic root of 105873985 is about 473.0747333818.

The spelling of 105873985 in words is "one hundred five million, eight hundred seventy-three thousand, nine hundred eighty-five".