105605825 has 12 divisors (see below), whose sum is σ = 141024828. Its totient is φ = 77985600.

The previous prime is 105605821. The next prime is 105605827. The reversal of 105605825 is 528506501.

It can be written as a sum of positive squares in 6 ways, for example, as 35331136 + 70274689 = 5944^2 + 8383^2 .

It is not a de Polignac number, because 105605825 - 2² = 105605821 is a prime.

It is a super-3 number, since 3×105605825³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105605791 and 105605800.

It is not an unprimeable number, because it can be changed into a prime (105605821) 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 11 ways as a sum of consecutive naturals, for example, 162146 + ... + 162795.

It is an arithmetic number, because the mean of its divisors is an integer number (11752069).

Almost surely, 2^105605825 is an apocalyptic number.

It is an amenable number.

105605825 is a deficient number, since it is larger than the sum of its proper divisors (35419003).

105605825 is a wasteful number, since it uses less digits than its factorization.

105605825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324964 (or 324959 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The square root of 105605825 is about 10276.4694812956. The cubic root of 105605825 is about 472.6749909401.

The spelling of 105605825 in words is "one hundred five million, six hundred five thousand, eight hundred twenty-five".