10151705205 has 24 divisors (see below), whose sum is σ = 17601648792. Its totient is φ = 5412593664.

The previous prime is 10151705203. The next prime is 10151705209. The reversal of 10151705205 is 50250715101.

10151705205 is digitally balanced in base 3, 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 4 ways, for example, as 470325969 + 9681379236 = 21687^2 + 98394^2 .

It is not a de Polignac number, because 10151705205 - 2¹ = 10151705203 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10151705203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122937 + ... + 188193.

It is an arithmetic number, because the mean of its divisors is an integer number (733402033).

Almost surely, 2^10151705205 is an apocalyptic number.

10151705205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10151705205 is a deficient number, since it is larger than the sum of its proper divisors (7449943587).

10151705205 is a wasteful number, since it uses less digits than its factorization.

10151705205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68725 (or 68722 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

The spelling of 10151705205 in words is "ten billion, one hundred fifty-one million, seven hundred five thousand, two hundred five".