10110011106105 has 24 divisors (see below), whose sum is σ = 17533507223232. Its totient is φ = 5389086547104.

The previous prime is 10110011106031. The next prime is 10110011106193. The reversal of 10110011106105 is 50160111001101.

It is a happy number.

It is not a de Polignac number, because 10110011106105 - 2¹³ = 10110011097913 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60736299 + ... + 60902528.

It is an arithmetic number, because the mean of its divisors is an integer number (730562800968).

Almost surely, 2^{10110011106105} is an apocalyptic number.

10110011106105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10110011106105 is a deficient number, since it is larger than the sum of its proper divisors (7423496117127).

10110011106105 is a wasteful number, since it uses less digits than its factorization.

10110011106105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121640685 (or 121640682 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

Adding to 10110011106105 its reverse (50160111001101), we get a palindrome (60270122107206).

The spelling of 10110011106105 in words is "ten trillion, one hundred ten billion, eleven million, one hundred six thousand, one hundred five".