10000011106 has 16 divisors (see below), whose sum is σ = 15952275360. Its totient is φ = 4688012160.

The previous prime is 10000011103. The next prime is 10000011107. The reversal of 10000011106 is 60111000001.

It is a junction number, because it is equal to n+sod(n) for n = 10000011092 and 10000011101.

It is not an unprimeable number, because it can be changed into a prime (10000011103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1352800 + ... + 1360171.

It is an arithmetic number, because the mean of its divisors is an integer number (997017210).

Almost surely, 2^10000011106 is an apocalyptic number.

10000011106 is a deficient number, since it is larger than the sum of its proper divisors (5952264254).

10000011106 is a wasteful number, since it uses less digits than its factorization.

10000011106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713089.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10000011106 its reverse (60111000001), we get a palindrome (70111011107).

The spelling of 10000011106 in words is "ten billion, eleven thousand, one hundred six".