105812380106875 has 40 divisors (see below), whose sum is σ = 142634293290720. Its totient is φ = 78006601536000.

The previous prime is 105812380106843. The next prime is 105812380106879. The reversal of 105812380106875 is 578601083218501.

It is not a de Polignac number, because 105812380106875 - 2⁵ = 105812380106843 is a prime.

It is a super-2 number, since 2×105812380106875² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105812380106879) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6162535 + ... + 15798784.

It is an arithmetic number, because the mean of its divisors is an integer number (3565857332268).

Almost surely, 2^{105812380106875} is an apocalyptic number.

105812380106875 is a deficient number, since it is larger than the sum of its proper divisors (36821913183845).

105812380106875 is an equidigital number, since it uses as much as digits as its factorization.

105812380106875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21961945 (or 21961930 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 55.

The spelling of 105812380106875 in words is "one hundred five trillion, eight hundred twelve billion, three hundred eighty million, one hundred six thousand, eight hundred seventy-five".