10071263205 has 12 divisors (see below), whose sum is σ = 17456856300. Its totient is φ = 5371340352.

The previous prime is 10071263201. The next prime is 10071263219. The reversal of 10071263205 is 50236217001.

It is a happy number.

10071263205 is a `hidden beast` number, since 10 + 0 + 7 + 12 + 632 + 0 + 5 = 666.

10071263205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6523631361 + 3547631844 = 80769^2 + 59562^2 .

It is not a de Polignac number, because 10071263205 - 2² = 10071263201 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10071263201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111902880 + ... + 111902969.

It is an arithmetic number, because the mean of its divisors is an integer number (1454738025).

Almost surely, 2^10071263205 is an apocalyptic number.

10071263205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10071263205 is a deficient number, since it is larger than the sum of its proper divisors (7385593095).

10071263205 is a wasteful number, since it uses less digits than its factorization.

10071263205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223805860 (or 223805857 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

It can be divided in two parts, 1007126 and 3205, that added together give a triangular number (1010331 = T₁₄₂₁).

The spelling of 10071263205 in words is "ten billion, seventy-one million, two hundred sixty-three thousand, two hundred five".