105505500500 has 48 divisors (see below), whose sum is σ = 232183119168. Its totient is φ = 41880020000.

The previous prime is 105505500493. The next prime is 105505500523. The reversal of 105505500500 is 5005505501.

It is a super-2 number, since 2×105505500500² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105505500500.

It is a congruent number.

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, 739886 + ... + 870885.

It is an arithmetic number, because the mean of its divisors is an integer number (4837148316).

Almost surely, 2^105505500500 is an apocalyptic number.

105505500500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105505500500 is an abundant number, since it is smaller than the sum of its proper divisors (126677618668).

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

105505500500 is a wasteful number, since it uses less digits than its factorization.

105505500500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610921 (or 1610909 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 26.

The spelling of 105505500500 in words is "one hundred five billion, five hundred five million, five hundred thousand, five hundred".