105203434009 has 32 divisors (see below), whose sum is σ = 113367081600. Its totient is φ = 97446236160.

The previous prime is 105203433967. The next prime is 105203434013. The reversal of 105203434009 is 900434302501.

It is not a de Polignac number, because 105203434009 - 2⁹ = 105203433497 is a prime.

It is a super-2 number, since 2×105203434009² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105203434309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17498814 + ... + 17504824.

It is an arithmetic number, because the mean of its divisors is an integer number (3542721300).

Almost surely, 2^105203434009 is an apocalyptic number.

It is an amenable number.

105203434009 is a deficient number, since it is larger than the sum of its proper divisors (8163647591).

105203434009 is a wasteful number, since it uses less digits than its factorization.

105203434009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345.

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 105203434009 in words is "one hundred five billion, two hundred three million, four hundred thirty-four thousand, nine".