105310300200 has 576 divisors, whose sum is σ = 387931420800. Its totient is φ = 23559782400.

The previous prime is 105310300181. The next prime is 105310300211. The reversal of 105310300200 is 2003013501.

It is a happy number.

It is a super-2 number, since 2×105310300200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105310300200.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 436972080 + ... + 436972320.

It is an arithmetic number, because the mean of its divisors is an integer number (673492050).

Almost surely, 2^105310300200 is an apocalyptic number.

105310300200 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 105310300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193965710400).

105310300200 is an abundant number, since it is smaller than the sum of its proper divisors (282621120600).

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

105310300200 is a wasteful number, since it uses less digits than its factorization.

105310300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 105310300200 its reverse (2003013501), we get a palindrome (107313313701).

The spelling of 105310300200 in words is "one hundred five billion, three hundred ten million, three hundred thousand, two hundred".