105431229601728 has 56 divisors (see below), whose sum is σ = 279990463507920. Its totient is φ = 35013097297920.

The previous prime is 105431229601721. The next prime is 105431229601787. The reversal of 105431229601728 is 827106922134501.

It is a super-2 number, since 2×105431229601728² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105431229601721) 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 7 ways as a sum of consecutive naturals, for example, 1020619333 + ... + 1020722628.

It is a 1-persistent number, because it is pandigital, but 2⋅105431229601728 = 210862459203456 is not.

Almost surely, 2^{105431229601728} is an apocalyptic number.

It is an amenable number.

105431229601728 is an abundant number, since it is smaller than the sum of its proper divisors (174559233906192).

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

105431229601728 is a wasteful number, since it uses less digits than its factorization.

105431229601728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041342245 (or 2041342235 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 105431229601728 in words is "one hundred five trillion, four hundred thirty-one billion, two hundred twenty-nine million, six hundred one thousand, seven hundred twenty-eight".