105782048536023 has 12 divisors (see below), whose sum is σ = 152809861101768. Its totient is φ = 70515103180560.

The previous prime is 105782048536007. The next prime is 105782048536033. The reversal of 105782048536023 is 320635840287501.

105782048536023 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 8 + 20 + 4 + 8 + 5 + 3 + 602 + 3 = 666.

It is not a de Polignac number, because 105782048536023 - 2⁴ = 105782048536007 is a prime.

It is a super-2 number, since 2×105782048536023² (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 (105782048536033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 521768865 + ... + 521971562.

It is an arithmetic number, because the mean of its divisors is an integer number (12734155091814).

Almost surely, 2^{105782048536023} is an apocalyptic number.

105782048536023 is a deficient number, since it is larger than the sum of its proper divisors (47027812565745).

105782048536023 is a wasteful number, since it uses less digits than its factorization.

105782048536023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043751694 (or 1043751691 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 105782048536023 in words is "one hundred five trillion, seven hundred eighty-two billion, forty-eight million, five hundred thirty-six thousand, twenty-three".