105113225200 has 480 divisors, whose sum is σ = 281214001152. Its totient is φ = 37659648000.

The previous prime is 105113225197. The next prime is 105113225213. The reversal of 105113225200 is 2522311501.

It is a super-2 number, since 2×105113225200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1266424359 + ... + 1266424441.

Almost surely, 2^105113225200 is an apocalyptic number.

105113225200 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 105113225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140607000576).

105113225200 is an abundant number, since it is smaller than the sum of its proper divisors (176100775952).

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

105113225200 is a wasteful number, since it uses less digits than its factorization.

105113225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 105113225200 its reverse (2522311501), we get a palindrome (107635536701).

The spelling of 105113225200 in words is "one hundred five billion, one hundred thirteen million, two hundred twenty-five thousand, two hundred".