104949113 has 2 divisors, whose sum is σ = 104949114. Its totient is φ = 104949112.

The previous prime is 104949083. The next prime is 104949121. The reversal of 104949113 is 311949401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76090729 + 28858384 = 8723^2 + 5372^2 .

It is a cyclic number.

It is not a de Polignac number, because 104949113 - 2¹⁶ = 104883577 is a prime.

It is a super-2 number, since 2×104949113² = 22028632638973538, which contains 22 as substring.

It is equal to p_6029933 and since 104949113 and 6029933 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 104949113.

It is not a weakly prime, because it can be changed into another prime (104949133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52474556 + 52474557.

It is an arithmetic number, because the mean of its divisors is an integer number (52474557).

Almost surely, 2^104949113 is an apocalyptic number.

It is an amenable number.

104949113 is a deficient number, since it is larger than the sum of its proper divisors (1).

104949113 is an equidigital number, since it uses as much as digits as its factorization.

104949113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 104949113 is about 10244.4674336932. The cubic root of 104949113 is about 471.6931732424.

The spelling of 104949113 in words is "one hundred four million, nine hundred forty-nine thousand, one hundred thirteen".