105343506012 has 24 divisors (see below), whose sum is σ = 245806822800. Its totient is φ = 35113743616.

The previous prime is 105343505987. The next prime is 105343506017. The reversal of 105343506012 is 210605343501.

It is a super-2 number, since 2×105343506012² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105343506017) 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 7 ways as a sum of consecutive naturals, for example, 909814 + ... + 1019042.

It is an arithmetic number, because the mean of its divisors is an integer number (10241950950).

Almost surely, 2^105343506012 is an apocalyptic number.

105343506012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105343506012 is an abundant number, since it is smaller than the sum of its proper divisors (140463316788).

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

105343506012 is a wasteful number, since it uses less digits than its factorization.

105343506012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189605 (or 189603 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 105343506012 its reverse (210605343501), we get a palindrome (315948849513).

The spelling of 105343506012 in words is "one hundred five billion, three hundred forty-three million, five hundred six thousand, twelve".