105560550600500 has 24 divisors (see below), whose sum is σ = 230544242512584. Its totient is φ = 42224220240000.

The previous prime is 105560550600497. The next prime is 105560550600503. The reversal of 105560550600500 is 5006055065501.

It is an interprime number because it is at equal distance from previous prime (105560550600497) and next prime (105560550600503).

It can be written as a sum of positive squares in 4 ways, for example, as 285645353764 + 105274905246736 = 534458^2 + 10260356^2 .

It is a super-2 number, since 2×105560550600500² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105560550600503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105560550101 + ... + 105560551100.

It is an arithmetic number, because the mean of its divisors is an integer number (9606010104691).

Almost surely, 2^{105560550600500} is an apocalyptic number.

105560550600500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105560550600500 is an abundant number, since it is smaller than the sum of its proper divisors (124983691912084).

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

105560550600500 is a wasteful number, since it uses less digits than its factorization.

105560550600500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211121101220 (or 211121101208 counting only the distinct ones).

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

The spelling of 105560550600500 in words is "one hundred five trillion, five hundred sixty billion, five hundred fifty million, six hundred thousand, five hundred".