1000105011 has 6 divisors (see below), whose sum is σ = 1444596140. Its totient is φ = 666736668.

The previous prime is 1000104983. The next prime is 1000105013. The reversal of 1000105011 is 1105010001.

It is not a de Polignac number, because 1000105011 - 2¹⁰ = 1000103987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111122779 = 1000105011 / (1 + 0 + 0 + 0 + 1 + 0 + 5 + 0 + 1 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000104984 and 1000105002.

It is not an unprimeable number, because it can be changed into a prime (1000105013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55561381 + ... + 55561398.

Almost surely, 2^1000105011 is an apocalyptic number.

1000105011 is a deficient number, since it is larger than the sum of its proper divisors (444491129).

1000105011 is a wasteful number, since it uses less digits than its factorization.

1000105011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111122785 (or 111122782 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 1000105011 is about 31624.4369277937. The cubic root of 1000105011 is about 1000.0350024415.

Adding to 1000105011 its reverse (1105010001), we get a palindrome (2105115012).

The spelling of 1000105011 in words is "one billion, one hundred five thousand, eleven".