105110011100001 has 4 divisors (see below), whose sum is σ = 140146681466672. Its totient is φ = 70073340733332.

The previous prime is 105110011099999. The next prime is 105110011100027. The reversal of 105110011100001 is 100001110011501.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 105110011100001 - 2¹ = 105110011099999 is a prime.

It is a super-2 number, since 2×105110011100001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105110011100001.

It is not an unprimeable number, because it can be changed into a prime (105110011100041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17518335183331 + ... + 17518335183336.

It is an arithmetic number, because the mean of its divisors is an integer number (35036670366668).

Almost surely, 2^{105110011100001} is an apocalyptic number.

It is an amenable number.

105110011100001 is a deficient number, since it is larger than the sum of its proper divisors (35036670366671).

105110011100001 is an equidigital number, since it uses as much as digits as its factorization.

105110011100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35036670366670.

The product of its (nonzero) digits is 5, while the sum is 12.

Adding to 105110011100001 its reverse (100001110011501), we get a palindrome (205111121111502).

The spelling of 105110011100001 in words is "one hundred five trillion, one hundred ten billion, eleven million, one hundred thousand, one".