105825285 has 28 divisors (see below), whose sum is σ = 190404972. Its totient is φ = 56438208.

The previous prime is 105825281. The next prime is 105825299. The reversal of 105825285 is 582528501.

It can be written as a sum of positive squares in 2 ways, for example, as 37564641 + 68260644 = 6129^2 + 8262^2 .

It is not a de Polignac number, because 105825285 - 2² = 105825281 is a prime.

It is a super-2 number, since 2×105825285² = 22397981890662450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105825281) 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 27 ways as a sum of consecutive naturals, for example, 10872 + ... + 18161.

Almost surely, 2^105825285 is an apocalyptic number.

105825285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105825285 is a deficient number, since it is larger than the sum of its proper divisors (84579687).

105825285 is an frugal number, since it uses more digits than its factorization.

105825285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29056 (or 29041 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 105825285 is about 10287.1417313071. The cubic root of 105825285 is about 473.0021871598.

The spelling of 105825285 in words is "one hundred five million, eight hundred twenty-five thousand, two hundred eighty-five".