100164349 has 2 divisors, whose sum is σ = 100164350. Its totient is φ = 100164348.

The previous prime is 100164343. The next prime is 100164413. The reversal of 100164349 is 943461001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59752900 + 40411449 = 7730^2 + 6357^2 .

It is a cyclic number.

It is not a de Polignac number, because 100164349 - 2³ = 100164341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100164341) 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, 50082174 + 50082175.

It is an arithmetic number, because the mean of its divisors is an integer number (50082175).

Almost surely, 2^100164349 is an apocalyptic number.

It is an amenable number.

100164349 is a deficient number, since it is larger than the sum of its proper divisors (1).

100164349 is an equidigital number, since it uses as much as digits as its factorization.

100164349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 100164349 is about 10008.2140764474. The cubic root of 100164349 is about 464.4130243471.

It can be divided in two parts, 10016 and 4349, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 100164349 in words is "one hundred million, one hundred sixty-four thousand, three hundred forty-nine".