105343435200 has 84 divisors (see below), whose sum is σ = 345614269400. Its totient is φ = 28091581440.

The previous prime is 105343435193. The next prime is 105343435231. The reversal of 105343435200 is 2534343501.

It is a super-2 number, since 2×105343435200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 10968475 + ... + 10978074.

Almost surely, 2^105343435200 is an apocalyptic number.

105343435200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105343435200 is an abundant number, since it is smaller than the sum of its proper divisors (240270834200).

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

105343435200 is a wasteful number, since it uses less digits than its factorization.

105343435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21946574 (or 21946559 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 105343435200 its reverse (2534343501), we get a palindrome (107877778701).

The spelling of 105343435200 in words is "one hundred five billion, three hundred forty-three million, four hundred thirty-five thousand, two hundred".