100003349 has 2 divisors, whose sum is σ = 100003350. Its totient is φ = 100003348.

The previous prime is 100003331. The next prime is 100003361. The reversal of 100003349 is 943300001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84456100 + 15547249 = 9190^2 + 3943^2 .

It is a cyclic number.

It is not a de Polignac number, because 100003349 - 2²⁴ = 83226133 is a prime.

It is a super-3 number, since 3×100003349³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100003349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100003549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001674 + 50001675.

It is an arithmetic number, because the mean of its divisors is an integer number (50001675).

Almost surely, 2^100003349 is an apocalyptic number.

It is an amenable number.

100003349 is a deficient number, since it is larger than the sum of its proper divisors (1).

100003349 is an equidigital number, since it uses as much as digits as its factorization.

100003349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 100003349 is about 10000.1674485980. The cubic root of 100003349 is about 464.1640648638.

The spelling of 100003349 in words is "one hundred million, three thousand, three hundred forty-nine".