10111006106003 has 16 divisors (see below), whose sum is σ = 11679158793600. Its totient is φ = 8651027702400.

The previous prime is 10111006105909. The next prime is 10111006106009. The reversal of 10111006106003 is 30060160011101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10111006106003 - 2²⁰ = 10111005057427 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10111006106009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18985448 + ... + 19510746.

It is an arithmetic number, because the mean of its divisors is an integer number (729947424600).

Almost surely, 2^{10111006106003} is an apocalyptic number.

10111006106003 is a deficient number, since it is larger than the sum of its proper divisors (1568152687597).

10111006106003 is a wasteful number, since it uses less digits than its factorization.

10111006106003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628258.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 10111006106003 its reverse (30060160011101), we get a palindrome (40171166117104).

The spelling of 10111006106003 in words is "ten trillion, one hundred eleven billion, six million, one hundred six thousand, three".