10111061106105 has 32 divisors (see below), whose sum is σ = 16412442240000. Its totient is φ = 5314436075520.

The previous prime is 10111061106077. The next prime is 10111061106191. The reversal of 10111061106105 is 50160116011101.

It is not a de Polignac number, because 10111061106105 - 2¹⁰ = 10111061105081 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2328841 + ... + 5064150.

It is an arithmetic number, because the mean of its divisors is an integer number (512888820000).

Almost surely, 2^{10111061106105} is an apocalyptic number.

10111061106105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10111061106105 is a deficient number, since it is larger than the sum of its proper divisors (6301381133895).

10111061106105 is a wasteful number, since it uses less digits than its factorization.

10111061106105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7394321.

The product of its (nonzero) digits is 180, while the sum is 24.

Adding to 10111061106105 its reverse (50160116011101), we get a palindrome (60271177117206).

The spelling of 10111061106105 in words is "ten trillion, one hundred eleven billion, sixty-one million, one hundred six thousand, one hundred five".