105055110000991 has 8 divisors (see below), whose sum is σ = 108444150816768. Its totient is φ = 101666079579000.

The previous prime is 105055110000937. The next prime is 105055110001003. The reversal of 105055110000991 is 199000011550501.

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 105055110000991 - 2⁹ = 105055110000479 is a prime.

It is a super-2 number, since 2×105055110000991² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105055110000991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105055110060991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21486186 + ... + 25918456.

It is an arithmetic number, because the mean of its divisors is an integer number (13555518852096).

Almost surely, 2^{105055110000991} is an apocalyptic number.

105055110000991 is a deficient number, since it is larger than the sum of its proper divisors (3389040815777).

105055110000991 is an equidigital number, since it uses as much as digits as its factorization.

105055110000991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5196893.

The product of its (nonzero) digits is 10125, while the sum is 37.

The spelling of 105055110000991 in words is "one hundred five trillion, fifty-five billion, one hundred ten million, nine hundred ninety-one", and thus it is an aban number.