100867009 has 2 divisors, whose sum is σ = 100867010. Its totient is φ = 100867008.

The previous prime is 100866989. The next prime is 100867021. The reversal of 100867009 is 900768001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70308225 + 30558784 = 8385^2 + 5528^2 .

It is a cyclic number.

It is not a de Polignac number, because 100867009 - 2⁷ = 100866881 is a prime.

It is not a weakly prime, because it can be changed into another prime (100867309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50433504 + 50433505.

It is an arithmetic number, because the mean of its divisors is an integer number (50433505).

Almost surely, 2^100867009 is an apocalyptic number.

It is an amenable number.

100867009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100867009 is an equidigital number, since it uses as much as digits as its factorization.

100867009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 100867009 is about 10043.2568920644. The cubic root of 100867009 is about 465.4964582432.

The spelling of 100867009 in words is "one hundred million, eight hundred sixty-seven thousand, nine".