10115515667 has 16 divisors (see below), whose sum is σ = 10904678400. Its totient is φ = 9355975200.

The previous prime is 10115515651. The next prime is 10115515673. The reversal of 10115515667 is 76651551101.

10115515667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10115515667 - 2⁴ = 10115515651 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10115515667.

It is not an unprimeable number, because it can be changed into a prime (10115515867) 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 15 ways as a sum of consecutive naturals, for example, 992417 + ... + 1002557.

It is an arithmetic number, because the mean of its divisors is an integer number (681542400).

Almost surely, 2^10115515667 is an apocalyptic number.

10115515667 is a deficient number, since it is larger than the sum of its proper divisors (789162733).

10115515667 is a wasteful number, since it uses less digits than its factorization.

10115515667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11594.

The product of its (nonzero) digits is 31500, while the sum is 38.

The spelling of 10115515667 in words is "ten billion, one hundred fifteen million, five hundred fifteen thousand, six hundred sixty-seven".