105560100000 has 432 divisors, whose sum is σ = 382461317784. Its totient is φ = 27605760000.

The previous prime is 105560099993. The next prime is 105560100013. The reversal of 105560100000 is 1065501.

105560100000 is a `hidden beast` number, since 1 + 0 + 5 + 560 + 100 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8223587856 + 97336512144 = 90684^2 + 311988^2 .

It is a super-2 number, since 2×105560100000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47698894 + ... + 47701106.

Almost surely, 2^105560100000 is an apocalyptic number.

105560100000 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 105560100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191230658892).

105560100000 is an abundant number, since it is smaller than the sum of its proper divisors (276901217784).

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

105560100000 is an equidigital number, since it uses as much as digits as its factorization.

105560100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 105560100000 its reverse (1065501), we get a palindrome (105561165501).

The spelling of 105560100000 in words is "one hundred five billion, five hundred sixty million, one hundred thousand".