105506565500 has 96 divisors (see below), whose sum is σ = 263474684928. Its totient is φ = 36155784000.

The previous prime is 105506565487. The next prime is 105506565511. The reversal of 105506565500 is 5565605501.

It is a super-2 number, since 2×105506565500² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8432249 + ... + 8444751.

It is an arithmetic number, because the mean of its divisors is an integer number (2744527968).

Almost surely, 2^105506565500 is an apocalyptic number.

105506565500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105506565500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131737342464).

105506565500 is an abundant number, since it is smaller than the sum of its proper divisors (157968119428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105506565500 is a wasteful number, since it uses less digits than its factorization.

105506565500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14940 (or 14928 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 38.

It can be divided in two parts, 105 and 506565500, that added together give a palindrome (506565605).

The spelling of 105506565500 in words is "one hundred five billion, five hundred six million, five hundred sixty-five thousand, five hundred".