105236825 has 12 divisors (see below), whose sum is σ = 132707280. Its totient is φ = 82761360.

The previous prime is 105236821. The next prime is 105236861. The reversal of 105236825 is 528632501.

It is not a de Polignac number, because 105236825 - 2² = 105236821 is a prime.

It is a super-2 number, since 2×105236825² = 22149578672161250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105236791 and 105236800.

It is not an unprimeable number, because it can be changed into a prime (105236821) 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, 34199 + ... + 37148.

It is an arithmetic number, because the mean of its divisors is an integer number (11058940).

Almost surely, 2^105236825 is an apocalyptic number.

It is an amenable number.

105236825 is a deficient number, since it is larger than the sum of its proper divisors (27470455).

105236825 is an equidigital number, since it uses as much as digits as its factorization.

105236825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71416 (or 71411 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 105236825 is about 10258.5001340352. The cubic root of 105236825 is about 472.1238199166.

The spelling of 105236825 in words is "one hundred five million, two hundred thirty-six thousand, eight hundred twenty-five".