10500777681 has 8 divisors (see below), whose sum is σ = 14004550560. Its totient is φ = 6998761632.

The previous prime is 10500777631. The next prime is 10500777739. The reversal of 10500777681 is 18677700501.

10500777681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10500777681 - 2⁹ = 10500777169 is a prime.

It is a super-2 number, since 2×10500777681² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10500777611) 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 7 ways as a sum of consecutive naturals, for example, 425196 + ... + 449213.

It is an arithmetic number, because the mean of its divisors is an integer number (1750568820).

Almost surely, 2^10500777681 is an apocalyptic number.

It is an amenable number.

10500777681 is a deficient number, since it is larger than the sum of its proper divisors (3503772879).

10500777681 is an equidigital number, since it uses as much as digits as its factorization.

10500777681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878415.

The product of its (nonzero) digits is 82320, while the sum is 42.

The spelling of 10500777681 in words is "ten billion, five hundred million, seven hundred seventy-seven thousand, six hundred eighty-one".