105005204244 has 36 divisors (see below), whose sum is σ = 265808530260. Its totient is φ = 34951795200.

The previous prime is 105005204233. The next prime is 105005204267. The reversal of 105005204244 is 442402500501.

105005204244 is a `hidden beast` number, since 10 + 50 + 0 + 520 + 42 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69306880644 + 35698323600 = 263262^2 + 188940^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105005204244² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2055229 + ... + 2105700.

It is an arithmetic number, because the mean of its divisors is an integer number (7383570285).

Almost surely, 2^105005204244 is an apocalyptic number.

It is an amenable number.

105005204244 is an abundant number, since it is smaller than the sum of its proper divisors (160803326016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105005204244 is a wasteful number, since it uses less digits than its factorization.

105005204244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161640 (or 4161635 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 105005204244 its reverse (442402500501), we get a palindrome (547407704745).

The spelling of 105005204244 in words is "one hundred five billion, five million, two hundred four thousand, two hundred forty-four".