10681144775 has 24 divisors (see below), whose sum is σ = 15141051744. Its totient is φ = 7322112000.

The previous prime is 10681144751. The next prime is 10681144801. The reversal of 10681144775 is 57744118601.

It is not a de Polignac number, because 10681144775 - 2¹⁶ = 10681079239 is a prime.

It is a super-2 number, since 2×10681144775² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 833819 + ... + 846531.

It is an arithmetic number, because the mean of its divisors is an integer number (630877156).

Almost surely, 2^10681144775 is an apocalyptic number.

10681144775 is a deficient number, since it is larger than the sum of its proper divisors (4459906969).

10681144775 is a wasteful number, since it uses less digits than its factorization.

10681144775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17531 (or 17526 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 44.

The spelling of 10681144775 in words is "ten billion, six hundred eighty-one million, one hundred forty-four thousand, seven hundred seventy-five".