105444225600200 has 48 divisors (see below), whose sum is σ = 245159381853360. Its totient is φ = 42177422312000.

The previous prime is 105444225600187. The next prime is 105444225600211. The reversal of 105444225600200 is 2006522444501.

It is a super-2 number, since 2×105444225600200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31530455 + ... + 34713945.

It is an arithmetic number, because the mean of its divisors is an integer number (5107487121945).

Almost surely, 2^{105444225600200} is an apocalyptic number.

105444225600200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105444225600200 is an abundant number, since it is smaller than the sum of its proper divisors (139715156253160).

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

105444225600200 is a wasteful number, since it uses less digits than its factorization.

105444225600200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349118 (or 3349109 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 105444225600200 in words is "one hundred five trillion, four hundred forty-four billion, two hundred twenty-five million, six hundred thousand, two hundred".