105008813 has 24 divisors (see below), whose sum is σ = 139302072. Its totient is φ = 78188544.

The previous prime is 105008773. The next prime is 105008819. The reversal of 105008813 is 318800501.

It can be written as a sum of positive squares in 4 ways, for example, as 1844164 + 103164649 = 1358^2 + 10157^2 .

It is not a de Polignac number, because 105008813 - 2⁸ = 105008557 is a prime.

It is a super-2 number, since 2×105008813² = 22053701615337938, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105008819) 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 in 23 ways as a sum of consecutive naturals, for example, 5981 + ... + 15677.

It is an arithmetic number, because the mean of its divisors is an integer number (5804253).

Almost surely, 2^105008813 is an apocalyptic number.

105008813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105008813 is a deficient number, since it is larger than the sum of its proper divisors (34293259).

105008813 is a wasteful number, since it uses less digits than its factorization.

105008813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9741 (or 9734 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 105008813 is about 10247.3807873037. The cubic root of 105008813 is about 471.7825967218.

The spelling of 105008813 in words is "one hundred five million, eight thousand, eight hundred thirteen".