10006011 has 12 divisors (see below), whose sum is σ = 14988792. Its totient is φ = 6670512.

The previous prime is 10006001. The next prime is 10006039. The reversal of 10006011 is 11060001.

It is not a de Polignac number, because 10006011 - 2⁷ = 10005883 is a prime.

It is a super-2 number, since 2×10006011² = 200240512264242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10005984 and 10006002.

It is not an unprimeable number, because it can be changed into a prime (10006001) 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, 20346 + ... + 20831.

It is an arithmetic number, because the mean of its divisors is an integer number (1249066).

Almost surely, 2^10006011 is an apocalyptic number.

10006011 is a deficient number, since it is larger than the sum of its proper divisors (4982781).

10006011 is an frugal number, since it uses more digits than its factorization.

10006011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41192 (or 41180 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10006011 is about 3163.2279399373. The cubic root of 10006011 is about 215.4866280464.

Adding to 10006011 its reverse (11060001), we get a palindrome (21066012).

The spelling of 10006011 in words is "ten million, six thousand, eleven".