320105876841 has 27 divisors (see below), whose sum is σ = 467162958717. Its totient is φ = 211216616280.

The previous prime is 320105876833. The next prime is 320105876879. The reversal of 320105876841 is 148678501023.

The square root of 320105876841 is 565779.

It is a perfect power (a square), and thus also a powerful number.

320105876841 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 0 + 587 + 68 + 4 + 1 = 666.

It is not a de Polignac number, because 320105876841 - 2³ = 320105876833 is a prime.

It is a super-3 number, since 3×320105876841³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (320105876821) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 174824796 + ... + 174826626.

Almost surely, 2^320105876841 is an apocalyptic number.

320105876841 is the 565779-th square number.

320105876841 is the 282890-th centered octagonal number.

It is an amenable number.

320105876841 is a deficient number, since it is larger than the sum of its proper divisors (147057081876).

320105876841 is an frugal number, since it uses more digits than its factorization.

320105876841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 320105876841 in words is "three hundred twenty billion, one hundred five million, eight hundred seventy-six thousand, eight hundred forty-one".