100667870468679 has 16 divisors (see below), whose sum is σ = 134482223232000. Its totient is φ = 66982772871456.

The previous prime is 100667870468639. The next prime is 100667870468791. The reversal of 100667870468679 is 976864078766001.

It is not a de Polignac number, because 100667870468679 - 2⁹ = 100667870468167 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100667870468679.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100667870468639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104784 + ... + 14189669.

It is an arithmetic number, because the mean of its divisors is an integer number (8405138952000).

Almost surely, 2^{100667870468679} is an apocalyptic number.

100667870468679 is a deficient number, since it is larger than the sum of its proper divisors (33814352763321).

100667870468679 is a wasteful number, since it uses less digits than its factorization.

100667870468679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14298974.

The product of its (nonzero) digits is 1024192512, while the sum is 75.

The spelling of 100667870468679 in words is "one hundred trillion, six hundred sixty-seven billion, eight hundred seventy million, four hundred sixty-eight thousand, six hundred seventy-nine".