105055027200 has 288 divisors, whose sum is σ = 376351121250. Its totient is φ = 28012707840.

The previous prime is 105055027199. The next prime is 105055027247. The reversal of 105055027200 is 2720550501.

It is a happy number.

105055027200 is a `hidden beast` number, since 105 + 0 + 550 + 2 + 7 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 88109236224 + 16945790976 = 296832^2 + 130176^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×105055027200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7365676 + ... + 7379924.

Almost surely, 2^105055027200 is an apocalyptic number.

105055027200 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 105055027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188175560625).

105055027200 is an abundant number, since it is smaller than the sum of its proper divisors (271296094050).

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

105055027200 is an equidigital number, since it uses as much as digits as its factorization.

105055027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14295 (or 14259 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

Adding to 105055027200 its reverse (2720550501), we get a palindrome (107775577701).

The spelling of 105055027200 in words is "one hundred five billion, fifty-five million, twenty-seven thousand, two hundred".