105343502200 has 48 divisors (see below), whose sum is σ = 259330924080. Its totient is φ = 39658728960.

The previous prime is 105343502191. The next prime is 105343502203. The reversal of 105343502200 is 2205343501.

It is a super-2 number, since 2×105343502200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105343502203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15488292 + ... + 15495091.

It is an arithmetic number, because the mean of its divisors is an integer number (5402727585).

Almost surely, 2^105343502200 is an apocalyptic number.

105343502200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105343502200 is an abundant number, since it is smaller than the sum of its proper divisors (153987421880).

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

105343502200 is a wasteful number, since it uses less digits than its factorization.

105343502200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30983416 (or 30983407 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 105343502200 its reverse (2205343501), we get a palindrome (107548845701).

The spelling of 105343502200 in words is "one hundred five billion, three hundred forty-three million, five hundred two thousand, two hundred".