105785885 has 8 divisors (see below), whose sum is σ = 128200536. Its totient is φ = 83790400.

The previous prime is 105785851. The next prime is 105785887. The reversal of 105785885 is 588587501.

It can be written as a sum of positive squares in 4 ways, for example, as 40208281 + 65577604 = 6341^2 + 8098^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105785885 - 2⁸ = 105785629 is a prime.

It is a super-2 number, since 2×105785885² = 22381306930466450, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105785887) 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 7 ways as a sum of consecutive naturals, for example, 104234 + ... + 105243.

It is an arithmetic number, because the mean of its divisors is an integer number (16025067).

Almost surely, 2^105785885 is an apocalyptic number.

It is an amenable number.

105785885 is a deficient number, since it is larger than the sum of its proper divisors (22414651).

105785885 is a wasteful number, since it uses less digits than its factorization.

105785885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209583.

The product of its (nonzero) digits is 448000, while the sum is 47.

The square root of 105785885 is about 10285.2265410150. The cubic root of 105785885 is about 472.9434784448.

The spelling of 105785885 in words is "one hundred five million, seven hundred eighty-five thousand, eight hundred eighty-five".