105105430345333 has 8 divisors (see below), whose sum is σ = 114663077752320. Its totient is φ = 95548217652480.

The previous prime is 105105430345283. The next prime is 105105430345351. The reversal of 105105430345333 is 333543034501501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105105430345333 is a prime.

It is a super-2 number, since 2×105105430345333² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105430346333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108172885 + ... + 109140202.

It is an arithmetic number, because the mean of its divisors is an integer number (14332884719040).

Almost surely, 2^{105105430345333} is an apocalyptic number.

It is an amenable number.

105105430345333 is a deficient number, since it is larger than the sum of its proper divisors (9557647406987).

105105430345333 is a wasteful number, since it uses less digits than its factorization.

105105430345333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217357067.

The product of its (nonzero) digits is 486000, while the sum is 40.

Adding to 105105430345333 its reverse (333543034501501), we get a palindrome (438648464846834).

The spelling of 105105430345333 in words is "one hundred five trillion, one hundred five billion, four hundred thirty million, three hundred forty-five thousand, three hundred thirty-three".