10646805125 has 36 divisors (see below), whose sum is σ = 14622381228. Its totient is φ = 7733902000.

The previous prime is 10646805083. The next prime is 10646805139. The reversal of 10646805125 is 52150864601.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10646805125 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 340697764 + 10306107361 = 18458^2 + 101519^2 .

It is not a de Polignac number, because 10646805125 - 2¹⁰ = 10646804101 is a prime.

It is a super-2 number, since 2×10646805125² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 12689456 + ... + 12690294.

Almost surely, 2^10646805125 is an apocalyptic number.

It is an amenable number.

10646805125 is a deficient number, since it is larger than the sum of its proper divisors (3975576103).

10646805125 is an frugal number, since it uses more digits than its factorization.

10646805125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 10646805125 in words is "ten billion, six hundred forty-six million, eight hundred five thousand, one hundred twenty-five".