100985333 has 2 divisors, whose sum is σ = 100985334. Its totient is φ = 100985332.

The previous prime is 100985309. The next prime is 100985351. The reversal of 100985333 is 333589001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99540529 + 1444804 = 9977^2 + 1202^2 .

It is a cyclic number.

It is not a de Polignac number, because 100985333 - 2⁸ = 100985077 is a prime.

It is a super-2 number, since 2×100985333² = 20396074962241778, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100985333.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100987333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50492666 + 50492667.

It is an arithmetic number, because the mean of its divisors is an integer number (50492667).

Almost surely, 2^100985333 is an apocalyptic number.

It is an amenable number.

100985333 is a deficient number, since it is larger than the sum of its proper divisors (1).

100985333 is an equidigital number, since it uses as much as digits as its factorization.

100985333 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 32.

The square root of 100985333 is about 10049.1458841038. The cubic root of 100985333 is about 465.6784069965.

The spelling of 100985333 in words is "one hundred million, nine hundred eighty-five thousand, three hundred thirty-three".