105000010006011 has 16 divisors (see below), whose sum is σ = 141818151528960. Its totient is φ = 69091512403680.

The previous prime is 105000010005971. The next prime is 105000010006049. The reversal of 105000010006011 is 110600010000501.

It is not a de Polignac number, because 105000010006011 - 2¹⁰ = 105000010004987 is a prime.

It is a super-2 number, since 2×105000010006011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105000010006711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71121100 + ... + 72582441.

It is an arithmetic number, because the mean of its divisors is an integer number (8863634470560).

Almost surely, 2^{105000010006011} is an apocalyptic number.

105000010006011 is a deficient number, since it is larger than the sum of its proper divisors (36818141522949).

105000010006011 is a wasteful number, since it uses less digits than its factorization.

105000010006011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143706706.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 105000010006011 its reverse (110600010000501), we get a palindrome (215600020006512).

The spelling of 105000010006011 in words is "one hundred five trillion, ten million, six thousand, eleven".