105785828 has 12 divisors (see below), whose sum is σ = 186368700. Its totient is φ = 52537632.

The previous prime is 105785803. The next prime is 105785837. The reversal of 105785828 is 828587501.

It can be written as a sum of positive squares in 2 ways, for example, as 5345344 + 100440484 = 2312^2 + 10022^2 .

It is a super-2 number, since 2×105785828² = 22381282811291168, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 88151 + ... + 89342.

It is an arithmetic number, because the mean of its divisors is an integer number (15530725).

Almost surely, 2^105785828 is an apocalyptic number.

It is an amenable number.

105785828 is a deficient number, since it is larger than the sum of its proper divisors (80582872).

105785828 is a wasteful number, since it uses less digits than its factorization.

105785828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177646 (or 177644 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 44.

The square root of 105785828 is about 10285.2237700499. The cubic root of 105785828 is about 472.9433935003.

The spelling of 105785828 in words is "one hundred five million, seven hundred eighty-five thousand, eight hundred twenty-eight".