105825856 has 28 divisors (see below), whose sum is σ = 211871052. Its totient is φ = 52441088.

The previous prime is 105825851. The next prime is 105825857. The reversal of 105825856 is 658528501.

It can be written as a sum of positive squares in 2 ways, for example, as 968256 + 104857600 = 984^2 + 10240^2 .

It is a super-2 number, since 2×105825856² = 22398223596265472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105825851) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 85 + ... + 14548.

Almost surely, 2^105825856 is an apocalyptic number.

105825856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105825856 is an abundant number, since it is smaller than the sum of its proper divisors (106045196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105825856 is a wasteful number, since it uses less digits than its factorization.

105825856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14758 (or 14748 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 40.

The square root of 105825856 is about 10287.1694843625. The cubic root of 105825856 is about 473.0030378820.

The spelling of 105825856 in words is "one hundred five million, eight hundred twenty-five thousand, eight hundred fifty-six".