105405210205 has 8 divisors (see below), whose sum is σ = 129904799832. Its totient is φ = 82045136448.

The previous prime is 105405210181. The next prime is 105405210247. The reversal of 105405210205 is 502012504501.

It can be written as a sum of positive squares in 4 ways, for example, as 7077183876 + 98328026329 = 84126^2 + 313573^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105405210205 - 2³⁵ = 71045471837 is a prime.

It is a super-2 number, since 2×105405210205² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105405210205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284878762 + ... + 284879131.

It is an arithmetic number, because the mean of its divisors is an integer number (16238099979).

Almost surely, 2^105405210205 is an apocalyptic number.

It is an amenable number.

105405210205 is a deficient number, since it is larger than the sum of its proper divisors (24499589627).

105405210205 is an equidigital number, since it uses as much as digits as its factorization.

105405210205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569757935.

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 105405210205 its reverse (502012504501), we get a palindrome (607417714706).

The spelling of 105405210205 in words is "one hundred five billion, four hundred five million, two hundred ten thousand, two hundred five".