5205105 has 24 divisors (see below), whose sum is σ = 9117888. Its totient is φ = 2746656.

The previous prime is 5205103. The next prime is 5205113. The reversal of 5205105 is 5015025.

5205105 = 426² + 427² + ... + 452².

It is not a de Polignac number, because 5205105 - 2¹ = 5205103 is a prime.

It is a super-2 number, since 2×5205105² = 54186236122050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5205103) 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 23 ways as a sum of consecutive naturals, for example, 4074 + ... + 5196.

It is an arithmetic number, because the mean of its divisors is an integer number (379912).

Almost surely, 2^5205105 is an apocalyptic number.

It is an amenable number.

5205105 is a deficient number, since it is larger than the sum of its proper divisors (3912783).

5205105 is a wasteful number, since it uses less digits than its factorization.

5205105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 5205105 is about 2281.4699209063. The cubic root of 5205105 is about 173.3044967643.

It can be divided in two parts, 520 and 5105, that added together give a square (5625 = 75²).

The spelling of 5205105 in words is "five million, two hundred five thousand, one hundred five".