105505001116 has 12 divisors (see below), whose sum is σ = 184636026288. Its totient is φ = 52751850752.

The previous prime is 105505001099. The next prime is 105505001117. The reversal of 105505001116 is 611100505501.

105505001116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105505001116² (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 (105505001117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 551505 + ... + 717751.

It is an arithmetic number, because the mean of its divisors is an integer number (15386335524).

Almost surely, 2^105505001116 is an apocalyptic number.

It is an amenable number.

105505001116 is a deficient number, since it is larger than the sum of its proper divisors (79131025172).

105505001116 is a wasteful number, since it uses less digits than its factorization.

105505001116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324908 (or 324906 counting only the distinct ones).

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

Adding to 105505001116 its reverse (611100505501), we get a palindrome (716605506617).

The spelling of 105505001116 in words is "one hundred five billion, five hundred five million, one thousand, one hundred sixteen".