10405253205 has 12 divisors (see below), whose sum is σ = 18035772300. Its totient is φ = 5549468352.

The previous prime is 10405253191. The next prime is 10405253237. The reversal of 10405253205 is 50235250401.

It is a happy number.

10405253205 is a `hidden beast` number, since 1 + 0 + 405 + 2 + 53 + 205 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5321848401 + 5083404804 = 72951^2 + 71298^2 .

It is not a de Polignac number, because 10405253205 - 2¹⁰ = 10405252181 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115613880 + ... + 115613969.

It is an arithmetic number, because the mean of its divisors is an integer number (1502981025).

Almost surely, 2^10405253205 is an apocalyptic number.

10405253205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10405253205 is a deficient number, since it is larger than the sum of its proper divisors (7630519095).

10405253205 is a wasteful number, since it uses less digits than its factorization.

10405253205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231227860 (or 231227857 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 10405253205 in words is "ten billion, four hundred five million, two hundred fifty-three thousand, two hundred five".