105506101105 has 16 divisors (see below), whose sum is σ = 127303133760. Its totient is φ = 83941365312.

The previous prime is 105506101087. The next prime is 105506101121. The reversal of 105506101105 is 501101605501.

It is a cyclic number.

It is not a de Polignac number, because 105506101105 - 2¹⁵ = 105506068337 is a prime.

It is a super-3 number, since 3×105506101105³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105506101105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2479822 + ... + 2522008.

It is an arithmetic number, because the mean of its divisors is an integer number (7956445860).

Almost surely, 2^105506101105 is an apocalyptic number.

It is an amenable number.

105506101105 is a deficient number, since it is larger than the sum of its proper divisors (21797032655).

105506101105 is a wasteful number, since it uses less digits than its factorization.

105506101105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44928.

The product of its (nonzero) digits is 750, while the sum is 25.

Adding to 105506101105 its reverse (501101605501), we get a palindrome (606607706606).

The spelling of 105506101105 in words is "one hundred five billion, five hundred six million, one hundred one thousand, one hundred five".