100348949 has 2 divisors, whose sum is σ = 100348950. Its totient is φ = 100348948.

The previous prime is 100348889. The next prime is 100348951. The reversal of 100348949 is 949843001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58033924 + 42315025 = 7618^2 + 6505^2 .

It is a cyclic number.

It is not a de Polignac number, because 100348949 - 2⁸ = 100348693 is a prime.

It is a super-3 number, since 3×100348949³ (a number of 25 digits) contains 333 as substring.

Together with 100348951, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100348979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50174474 + 50174475.

It is an arithmetic number, because the mean of its divisors is an integer number (50174475).

Almost surely, 2^100348949 is an apocalyptic number.

It is an amenable number.

100348949 is a deficient number, since it is larger than the sum of its proper divisors (1).

100348949 is an equidigital number, since it uses as much as digits as its factorization.

100348949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 100348949 is about 10017.4322558228. The cubic root of 100348949 is about 464.6981491866.

The spelling of 100348949 in words is "one hundred million, three hundred forty-eight thousand, nine hundred forty-nine".