105000005011 has 32 divisors (see below), whose sum is σ = 122471129088. Its totient is φ = 88962531840.

The previous prime is 105000004997. The next prime is 105000005023. The reversal of 105000005011 is 110500000501.

It is a cyclic number.

It is not a de Polignac number, because 105000005011 - 2⁷ = 105000004883 is a prime.

It is a super-2 number, since 2×105000005011² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105000004982 and 105000005000.

It is not an unprimeable number, because it can be changed into a prime (105000005051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13366761 + ... + 13374613.

It is an arithmetic number, because the mean of its divisors is an integer number (3827222784).

Almost surely, 2^105000005011 is an apocalyptic number.

105000005011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105000005011 is a deficient number, since it is larger than the sum of its proper divisors (17471124077).

105000005011 is a wasteful number, since it uses less digits than its factorization.

105000005011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8571.

The product of its (nonzero) digits is 25, while the sum is 13.

Adding to 105000005011 its reverse (110500000501), we get a palindrome (215500005512).

The spelling of 105000005011 in words is "one hundred five billion, five thousand, eleven".