105832080767 has 12 divisors (see below), whose sum is σ = 124494060240. Its totient is φ = 89693958816.

The previous prime is 105832080751. The next prime is 105832080797. The reversal of 105832080767 is 767080238501.

It is a happy number.

It is not a de Polignac number, because 105832080767 - 2⁴ = 105832080751 is a prime.

It is a super-2 number, since 2×105832080767² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105832080707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12129563 + ... + 12138284.

It is an arithmetic number, because the mean of its divisors is an integer number (10374505020).

Almost surely, 2^105832080767 is an apocalyptic number.

105832080767 is a deficient number, since it is larger than the sum of its proper divisors (18661979473).

105832080767 is an equidigital number, since it uses as much as digits as its factorization.

105832080767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24267950 (or 24267943 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 47.

The spelling of 105832080767 in words is "one hundred five billion, eight hundred thirty-two million, eighty thousand, seven hundred sixty-seven".