105828568 has 32 divisors (see below), whose sum is σ = 201670560. Its totient is φ = 52057600.

The previous prime is 105828563. The next prime is 105828571. The reversal of 105828568 is 865828501.

It is a super-2 number, since 2×105828568² = 22399371609861248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105828563) 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, 150618 + ... + 151318.

It is an arithmetic number, because the mean of its divisors is an integer number (6302205).

Almost surely, 2^105828568 is an apocalyptic number.

It is an amenable number.

105828568 is a deficient number, since it is larger than the sum of its proper divisors (95841992).

105828568 is a wasteful number, since it uses less digits than its factorization.

105828568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 43.

The square root of 105828568 is about 10287.3012982026. The cubic root of 105828568 is about 473.0070783983.

The spelling of 105828568 in words is "one hundred five million, eight hundred twenty-eight thousand, five hundred sixty-eight".