10005105506050 has 48 divisors (see below), whose sum is σ = 18920396095272. Its totient is φ = 3935222438400.

The previous prime is 10005105506047. The next prime is 10005105506063. The reversal of 10005105506050 is 5060550150001.

It can be written as a sum of positive squares in 12 ways, for example, as 1065645354601 + 8939460151449 = 1032301^2 + 2989893^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9430264 + ... + 10437436.

Almost surely, 2^{10005105506050} is an apocalyptic number.

10005105506050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10005105506050 is a deficient number, since it is larger than the sum of its proper divisors (8915290589222).

10005105506050 is a wasteful number, since it uses less digits than its factorization.

10005105506050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010503 (or 1010498 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 28.

Adding to 10005105506050 its reverse (5060550150001), we get a palindrome (15065655656051).

The spelling of 10005105506050 in words is "ten trillion, five billion, one hundred five million, five hundred six thousand, fifty".