105205265 has 48 divisors (see below), whose sum is σ = 150477264. Its totient is φ = 70287360.

The previous prime is 105205249. The next prime is 105205267. The reversal of 105205265 is 562502501.

It can be written as a sum of positive squares in 8 ways, for example, as 327184 + 104878081 = 572^2 + 10241^2 .

It is not a de Polignac number, because 105205265 - 2⁴ = 105205249 is a prime.

It is a super-2 number, since 2×105205265² = 22136295567440450, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105205267) 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 47 ways as a sum of consecutive naturals, for example, 545009 + ... + 545201.

It is an arithmetic number, because the mean of its divisors is an integer number (3134943).

Almost surely, 2^105205265 is an apocalyptic number.

It is an amenable number.

105205265 is a deficient number, since it is larger than the sum of its proper divisors (45271999).

105205265 is a wasteful number, since it uses less digits than its factorization.

105205265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 105205265 is about 10256.9617821263. The cubic root of 105205265 is about 472.0766193367.

Adding to 105205265 its reverse (562502501), we get a palindrome (667707766).

The spelling of 105205265 in words is "one hundred five million, two hundred five thousand, two hundred sixty-five".