105909810094081 has 8 divisors (see below), whose sum is σ = 121489744985280. Its totient is φ = 90442365708048.

The previous prime is 105909810094069. The next prime is 105909810094163. The reversal of 105909810094081 is 180490018909501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105909810094081 - 2⁹ = 105909810093569 is a prime.

It is a super-2 number, since 2×105909810094081² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105909810094031) 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 7 ways as a sum of consecutive naturals, for example, 28122624271 + ... + 28122628036.

It is an arithmetic number, because the mean of its divisors is an integer number (15186218123160).

Almost surely, 2^{105909810094081} is an apocalyptic number.

It is an amenable number.

105909810094081 is a deficient number, since it is larger than the sum of its proper divisors (15579934891199).

105909810094081 is an equidigital number, since it uses as much as digits as its factorization.

105909810094081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56245252583.

The product of its (nonzero) digits is 933120, while the sum is 55.

The spelling of 105909810094081 in words is "one hundred five trillion, nine hundred nine billion, eight hundred ten million, ninety-four thousand, eighty-one".