100004067089 has 2 divisors, whose sum is σ = 100004067090. Its totient is φ = 100004067088.

The previous prime is 100004067049. The next prime is 100004067113. The reversal of 100004067089 is 980760400001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99587580625 + 416486464 = 315575^2 + 20408^2 .

It is an emirp because it is prime and its reverse (980760400001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100004067089 - 2¹² = 100004062993 is a prime.

It is not a weakly prime, because it can be changed into another prime (100004067049) by changing a digit.

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 as a sum of consecutive naturals, namely, 50002033544 + 50002033545.

It is an arithmetic number, because the mean of its divisors is an integer number (50002033545).

Almost surely, 2^100004067089 is an apocalyptic number.

It is an amenable number.

100004067089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100004067089 is an equidigital number, since it uses as much as digits as its factorization.

100004067089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 100004067089 in words is "one hundred billion, four million, sixty-seven thousand, eighty-nine".