100009817 has 2 divisors, whose sum is σ = 100009818. Its totient is φ = 100009816.

The previous prime is 100009769. The next prime is 100009823. The reversal of 100009817 is 718900001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78517321 + 21492496 = 8861^2 + 4636^2 .

It is an emirp because it is prime and its reverse (718900001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100009817 - 2⁶ = 100009753 is a prime.

It is not a weakly prime, because it can be changed into another prime (100009837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50004908 + 50004909.

It is an arithmetic number, because the mean of its divisors is an integer number (50004909).

Almost surely, 2^100009817 is an apocalyptic number.

It is an amenable number.

100009817 is a deficient number, since it is larger than the sum of its proper divisors (1).

100009817 is an equidigital number, since it uses as much as digits as its factorization.

100009817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 26.

The square root of 100009817 is about 10000.4908379539. The cubic root of 100009817 is about 464.1740716901.

Adding to 100009817 its reverse (718900001), we get a palindrome (818909818).

The spelling of 100009817 in words is "one hundred million, nine thousand, eight hundred seventeen".