105793825813 has 32 divisors (see below), whose sum is σ = 117304008192. Its totient is φ = 94809312000.

The previous prime is 105793825777. The next prime is 105793825853. The reversal of 105793825813 is 318528397501.

It is not a de Polignac number, because 105793825813 - 2¹³ = 105793817621 is a prime.

It is a super-2 number, since 2×105793825813² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105793825853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28816968 + ... + 28820638.

It is an arithmetic number, because the mean of its divisors is an integer number (3665750256).

Almost surely, 2^105793825813 is an apocalyptic number.

105793825813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105793825813 is a deficient number, since it is larger than the sum of its proper divisors (11510182379).

105793825813 is a wasteful number, since it uses less digits than its factorization.

105793825813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165.

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 105793825813 in words is "one hundred five billion, seven hundred ninety-three million, eight hundred twenty-five thousand, eight hundred thirteen".