105611051101003 has 16 divisors (see below), whose sum is σ = 128791311685120. Its totient is φ = 84584564145216.

The previous prime is 105611051101001. The next prime is 105611051101007. The reversal of 105611051101003 is 300101150116501.

It is a cyclic number.

It is not a de Polignac number, because 105611051101003 - 2¹ = 105611051101001 is a prime.

It is a super-2 number, since 2×105611051101003² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105611051101001) 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, 5438812575 + ... + 5438831992.

It is an arithmetic number, because the mean of its divisors is an integer number (8049456980320).

Almost surely, 2^{105611051101003} is an apocalyptic number.

105611051101003 is a deficient number, since it is larger than the sum of its proper divisors (23180260584117).

105611051101003 is a wasteful number, since it uses less digits than its factorization.

105611051101003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10877644666.

The product of its (nonzero) digits is 450, while the sum is 25.

The spelling of 105611051101003 in words is "one hundred five trillion, six hundred eleven billion, fifty-one million, one hundred one thousand, three".