10680048081 has 12 divisors (see below), whose sum is σ = 15427696180. Its totient is φ = 7119588960.

The previous prime is 10680048079. The next prime is 10680048097. The reversal of 10680048081 is 18084008601.

10680048081 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 671846400 + 10008201681 = 25920^2 + 100041^2 .

It is not a de Polignac number, because 10680048081 - 2¹ = 10680048079 is a prime.

It is a super-2 number, since 2×10680048081² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10680048011) 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, 187551 + ... + 237771.

Almost surely, 2^10680048081 is an apocalyptic number.

It is an amenable number.

10680048081 is a deficient number, since it is larger than the sum of its proper divisors (4747648099).

10680048081 is a wasteful number, since it uses less digits than its factorization.

10680048081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73856 (or 73853 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 10680048081 in words is "ten billion, six hundred eighty million, forty-eight thousand, eighty-one".