105041408461328 has 10 divisors (see below), whose sum is σ = 203517728893854. Its totient is φ = 52520704230656.

The previous prime is 105041408461313. The next prime is 105041408461349. The reversal of 105041408461328 is 823164804140501.

It can be written as a sum of positive squares in only one way, i.e., 58712802855184 + 46328605606144 = 7662428^2 + 6806512^2 .

It is a super-3 number, since 3×105041408461328³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3282544014401 + ... + 3282544014432.

Almost surely, 2^{105041408461328} is an apocalyptic number.

It is an amenable number.

105041408461328 is a deficient number, since it is larger than the sum of its proper divisors (98476320432526).

105041408461328 is an equidigital number, since it uses as much as digits as its factorization.

105041408461328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6565088028841 (or 6565088028835 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 47.

The spelling of 105041408461328 in words is "one hundred five trillion, forty-one billion, four hundred eight million, four hundred sixty-one thousand, three hundred twenty-eight".