105010060005 has 12 divisors (see below), whose sum is σ = 182017437420. Its totient is φ = 56005365312.

The previous prime is 105010059989. The next prime is 105010060013. The reversal of 105010060005 is 500060010501.

105010060005 is a `hidden beast` number, since 1 + 0 + 50 + 10 + 0 + 600 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40134913569 + 64875146436 = 200337^2 + 254706^2 .

It is not a de Polignac number, because 105010060005 - 2⁴ = 105010059989 is a prime.

It is a super-2 number, since 2×105010060005² (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 105010060005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1166778400 + ... + 1166778489.

It is an arithmetic number, because the mean of its divisors is an integer number (15168119785).

Almost surely, 2^105010060005 is an apocalyptic number.

105010060005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105010060005 is a deficient number, since it is larger than the sum of its proper divisors (77007377415).

105010060005 is a wasteful number, since it uses less digits than its factorization.

105010060005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333556900 (or 2333556897 counting only the distinct ones).

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

Adding to 105010060005 its reverse (500060010501), we get a palindrome (605070070506).

The spelling of 105010060005 in words is "one hundred five billion, ten million, sixty thousand, five".