105361813 has 2 divisors, whose sum is σ = 105361814. Its totient is φ = 105361812.

The previous prime is 105361771. The next prime is 105361831. The reversal of 105361813 is 318163501.

Together with next prime (105361831) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96963409 + 8398404 = 9847^2 + 2898^2 .

It is an emirp because it is prime and its reverse (318163501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105361813 - 2⁹ = 105361301 is a prime.

It is a super-2 number, since 2×105361813² = 22202223277293938, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105361853) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52680906 + 52680907.

It is an arithmetic number, because the mean of its divisors is an integer number (52680907).

Almost surely, 2^105361813 is an apocalyptic number.

It is an amenable number.

105361813 is a deficient number, since it is larger than the sum of its proper divisors (1).

105361813 is an equidigital number, since it uses as much as digits as its factorization.

105361813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 105361813 is about 10264.5902499808. The cubic root of 105361813 is about 472.3106571311.

The spelling of 105361813 in words is "one hundred five million, three hundred sixty-one thousand, eight hundred thirteen".