105550630200 has 720 divisors, whose sum is σ = 398456126640. Its totient is φ = 25803878400.

The previous prime is 105550630177. The next prime is 105550630243. The reversal of 105550630200 is 2036055501.

105550630200 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 5 + 0 + 630 + 20 + 0 = 666.

It is a super-2 number, since 2×105550630200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1024763349 + ... + 1024763451.

It is an arithmetic number, because the mean of its divisors is an integer number (553411287).

Almost surely, 2^105550630200 is an apocalyptic number.

105550630200 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 105550630200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199228063320).

105550630200 is an abundant number, since it is smaller than the sum of its proper divisors (292905496440).

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

105550630200 is a wasteful number, since it uses less digits than its factorization.

105550630200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 105550630200 its reverse (2036055501), we get a palindrome (107586685701).

The spelling of 105550630200 in words is "one hundred five billion, five hundred fifty million, six hundred thirty thousand, two hundred".