105500111011 has 32 divisors (see below), whose sum is σ = 115263959040. Its totient is φ = 96179844096.

The previous prime is 105500111009. The next prime is 105500111033. The reversal of 105500111011 is 110111005501.

It is not a de Polignac number, because 105500111011 - 2¹ = 105500111009 is a prime.

It is a super-3 number, since 3×105500111011³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105500111611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41485206 + ... + 41487748.

It is an arithmetic number, because the mean of its divisors is an integer number (3601998720).

Almost surely, 2^105500111011 is an apocalyptic number.

105500111011 is a deficient number, since it is larger than the sum of its proper divisors (9763848029).

105500111011 is a wasteful number, since it uses less digits than its factorization.

105500111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123.

The product of its (nonzero) digits is 25, while the sum is 16.

Adding to 105500111011 its reverse (110111005501), we get a palindrome (215611116512).

The spelling of 105500111011 in words is "one hundred five billion, five hundred million, one hundred eleven thousand, eleven".