105865027331 has 16 divisors (see below), whose sum is σ = 122542156800. Its totient is φ = 89577999168.

The previous prime is 105865027313. The next prime is 105865027343. The reversal of 105865027331 is 133720568501.

It is not a de Polignac number, because 105865027331 - 2²⁶ = 105797918467 is a prime.

It is a super-2 number, since 2×105865027331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105865027031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678230 + ... + 819588.

It is an arithmetic number, because the mean of its divisors is an integer number (7658884800).

Almost surely, 2^105865027331 is an apocalyptic number.

105865027331 is a deficient number, since it is larger than the sum of its proper divisors (16677129469).

105865027331 is a wasteful number, since it uses less digits than its factorization.

105865027331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142738.

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 105865027331 in words is "one hundred five billion, eight hundred sixty-five million, twenty-seven thousand, three hundred thirty-one".