10006050105 has 12 divisors (see below), whose sum is σ = 17343820260. Its totient is φ = 5336560032.

The previous prime is 10006050097. The next prime is 10006050107. The reversal of 10006050105 is 50105060001.

10006050105 is a `hidden beast` number, since 100 + 0 + 60 + 501 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7149040704 + 2857009401 = 84552^2 + 53451^2 .

It is not a de Polignac number, because 10006050105 - 2³ = 10006050097 is a prime.

It is a super-2 number, since 2×10006050105² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10006050107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111178290 + ... + 111178379.

It is an arithmetic number, because the mean of its divisors is an integer number (1445318355).

Almost surely, 2^10006050105 is an apocalyptic number.

10006050105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10006050105 is a deficient number, since it is larger than the sum of its proper divisors (7337770155).

10006050105 is a wasteful number, since it uses less digits than its factorization.

10006050105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222356680 (or 222356677 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 10006050105 in words is "ten billion, six million, fifty thousand, one hundred five".