105285825 has 84 divisors (see below), whose sum is σ = 201265020. Its totient is φ = 54587520.

The previous prime is 105285823. The next prime is 105285841. The reversal of 105285825 is 528582501.

It can be written as a sum of positive squares in 6 ways, for example, as 571536 + 104714289 = 756^2 + 10233^2 .

It is not a de Polignac number, because 105285825 - 2¹ = 105285823 is a prime.

It is a super-2 number, since 2×105285825² = 22170209891861250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105285825.

It is not an unprimeable number, because it can be changed into a prime (105285823) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 965871 + ... + 965979.

Almost surely, 2^105285825 is an apocalyptic number.

105285825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105285825 is a deficient number, since it is larger than the sum of its proper divisors (95979195).

105285825 is an equidigital number, since it uses as much as digits as its factorization.

105285825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 170 counting only the distinct ones).

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

The square root of 105285825 is about 10260.8881194563. Note that the first 3 decimals coincide. The cubic root of 105285825 is about 472.1970847570.

The spelling of 105285825 in words is "one hundred five million, two hundred eighty-five thousand, eight hundred twenty-five".