100009999967 has 2 divisors, whose sum is σ = 100009999968. Its totient is φ = 100009999966.

The previous prime is 100009999951. The next prime is 100010000059. The reversal of 100009999967 is 769999900001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100009999967 - 2⁴ = 100009999951 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100009999367) 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 as a sum of consecutive naturals, namely, 50004999983 + 50004999984.

It is an arithmetic number, because the mean of its divisors is an integer number (50004999984).

Almost surely, 2^100009999967 is an apocalyptic number.

100009999967 is a deficient number, since it is larger than the sum of its proper divisors (1).

100009999967 is an equidigital number, since it uses as much as digits as its factorization.

100009999967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2480058, while the sum is 59.

The spelling of 100009999967 in words is "one hundred billion, nine million, nine hundred ninety-nine thousand, nine hundred sixty-seven".