105865825 has 18 divisors (see below), whose sum is σ = 142154034. Its totient is φ = 78174720.

The previous prime is 105865819. The next prime is 105865831. The reversal of 105865825 is 528568501.

It is an interprime number because it is at equal distance from previous prime (105865819) and next prime (105865831).

It can be written as a sum of positive squares in 9 ways, for example, as 81432576 + 24433249 = 9024^2 + 4943^2 .

It is not a de Polignac number, because 105865825 - 2⁹ = 105865313 is a prime.

It is a super-2 number, since 2×105865825² = 22415145805861250, which contains 22 as substring.

It is a Duffinian number.

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 17 ways as a sum of consecutive naturals, for example, 8304 + ... + 16753.

Almost surely, 2^105865825 is an apocalyptic number.

It is an amenable number.

105865825 is a deficient number, since it is larger than the sum of its proper divisors (36288209).

105865825 is a wasteful number, since it uses less digits than its factorization.

105865825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25093 (or 25075 counting only the distinct ones).

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

The square root of 105865825 is about 10289.1119636245. Note that the first 3 decimals coincide. The cubic root of 105865825 is about 473.0625793448.

It can be divided in two parts, 1058658 and 25, that multiplied together give a triangular number (26466450 = T₇₂₇₅).

The spelling of 105865825 in words is "one hundred five million, eight hundred sixty-five thousand, eight hundred twenty-five".