105505011111 has 8 divisors (see below), whose sum is σ = 143327562480. Its totient is φ = 69009566912.

The previous prime is 105505011071. The next prime is 105505011121. The reversal of 105505011111 is 111110505501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105505011111 - 2⁶ = 105505011047 is a prime.

It is a super-2 number, since 2×105505011111² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505011121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 331776606 + ... + 331776923.

It is an arithmetic number, because the mean of its divisors is an integer number (17915945310).

Almost surely, 2^105505011111 is an apocalyptic number.

105505011111 is a deficient number, since it is larger than the sum of its proper divisors (37822551369).

105505011111 is an equidigital number, since it uses as much as digits as its factorization.

105505011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663553585.

The product of its (nonzero) digits is 125, while the sum is 21.

Adding to 105505011111 its reverse (111110505501), we get a palindrome (216615516612).

The spelling of 105505011111 in words is "one hundred five billion, five hundred five million, eleven thousand, one hundred eleven".