105813901 has 2 divisors, whose sum is σ = 105813902. Its totient is φ = 105813900.

The previous prime is 105813887. The next prime is 105813913. The reversal of 105813901 is 109318501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98029801 + 7784100 = 9901^2 + 2790^2 .

It is an emirp because it is prime and its reverse (109318501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105813901 - 2¹³ = 105805709 is a prime.

It is a super-2 number, since 2×105813901² = 22393163289675602, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105813901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105813941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52906950 + 52906951.

It is an arithmetic number, because the mean of its divisors is an integer number (52906951).

Almost surely, 2^105813901 is an apocalyptic number.

It is an amenable number.

105813901 is a deficient number, since it is larger than the sum of its proper divisors (1).

105813901 is an equidigital number, since it uses as much as digits as its factorization.

105813901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 28.

The square root of 105813901 is about 10286.5884043253. The cubic root of 105813901 is about 472.9852257125.

The spelling of 105813901 in words is "one hundred five million, eight hundred thirteen thousand, nine hundred one".