100985309 has 2 divisors, whose sum is σ = 100985310. Its totient is φ = 100985308.

The previous prime is 100985293. The next prime is 100985333. The reversal of 100985309 is 903589001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53071225 + 47914084 = 7285^2 + 6922^2 .

It is a cyclic number.

It is not a de Polignac number, because 100985309 - 2⁴ = 100985293 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100985369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50492654 + 50492655.

It is an arithmetic number, because the mean of its divisors is an integer number (50492655).

Almost surely, 2^100985309 is an apocalyptic number.

It is an amenable number.

100985309 is a deficient number, since it is larger than the sum of its proper divisors (1).

100985309 is an equidigital number, since it uses as much as digits as its factorization.

100985309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 100985309 is about 10049.1446899724. The cubic root of 100985309 is about 465.6783701058.

The spelling of 100985309 in words is "one hundred million, nine hundred eighty-five thousand, three hundred nine".