105305635546329 has 32 divisors (see below), whose sum is σ = 144673412808960. Its totient is φ = 68100846308352.

The previous prime is 105305635546313. The next prime is 105305635546339. The reversal of 105305635546329 is 923645536503501.

It is a happy number.

It is not a de Polignac number, because 105305635546329 - 2⁴ = 105305635546313 is a prime.

It is a super-2 number, since 2×105305635546329² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105305635546339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226990884 + ... + 227454330.

It is an arithmetic number, because the mean of its divisors is an integer number (4521044150280).

Almost surely, 2^{105305635546329} is an apocalyptic number.

It is an amenable number.

105305635546329 is a deficient number, since it is larger than the sum of its proper divisors (39367777262631).

105305635546329 is a wasteful number, since it uses less digits than its factorization.

105305635546329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479649.

The product of its (nonzero) digits is 43740000, while the sum is 57.

The spelling of 105305635546329 in words is "one hundred five trillion, three hundred five billion, six hundred thirty-five million, five hundred forty-six thousand, three hundred twenty-nine".