10000011 has 16 divisors (see below), whose sum is σ = 15730688. Its totient is φ = 5529600.

The previous prime is 9999991. The next prime is 10000019. The reversal of 10000011 is 11000001.

It is not a de Polignac number, because 10000011 - 2⁷ = 9999883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a Duffinian number.

10000011 is a modest number, since divided by 11 gives 10 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 9999960 and 10000005.

It is not an unprimeable number, because it can be changed into a prime (10000019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7030 + ... + 8331.

It is an arithmetic number, because the mean of its divisors is an integer number (983168).

Almost surely, 2^10000011 is an apocalyptic number.

10000011 is a deficient number, since it is larger than the sum of its proper divisors (5730677).

10000011 is a wasteful number, since it uses less digits than its factorization.

10000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15402.

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 10000011 is about 3162.2793994206. The cubic root of 10000011 is about 215.4435479991.

Adding to 10000011 its reverse (11000001), we get a palindrome (21000012).

Multiplying 10000011 by its reverse (11000001), we get a palindrome (110000131000011).

The spelling of 10000011 in words is "ten million, eleven", and thus it is an aban number and an uban number.