105887813 has 2 divisors, whose sum is σ = 105887814. Its totient is φ = 105887812.

The previous prime is 105887753. The next prime is 105887833. The reversal of 105887813 is 318788501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103571329 + 2316484 = 10177^2 + 1522^2 .

It is a cyclic number.

It is not a de Polignac number, because 105887813 - 2⁸ = 105887557 is a prime.

It is a super-2 number, since 2×105887813² = 22424457883845938, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105887833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52943906 + 52943907.

It is an arithmetic number, because the mean of its divisors is an integer number (52943907).

Almost surely, 2^105887813 is an apocalyptic number.

It is an amenable number.

105887813 is a deficient number, since it is larger than the sum of its proper divisors (1).

105887813 is an equidigital number, since it uses as much as digits as its factorization.

105887813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 53760, while the sum is 41.

The square root of 105887813 is about 10290.1804162998. The cubic root of 105887813 is about 473.0953282826.

The spelling of 105887813 in words is "one hundred five million, eight hundred eighty-seven thousand, eight hundred thirteen".