1000105105111 has 8 divisors (see below), whose sum is σ = 1192671926784. Its totient is φ = 819961949400.

The previous prime is 1000105105073. The next prime is 1000105105117. The reversal of 1000105105111 is 1115015010001.

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 1000105105111 - 2⁹ = 1000105104599 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000105105117) 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, 3105916315 + ... + 3105916636.

It is an arithmetic number, because the mean of its divisors is an integer number (149083990848).

Almost surely, 2^{1000105105111} is an apocalyptic number.

1000105105111 is a deficient number, since it is larger than the sum of its proper divisors (192566821673).

1000105105111 is an equidigital number, since it uses as much as digits as its factorization.

1000105105111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6211832981.

The product of its (nonzero) digits is 25, while the sum is 16.

The spelling of 1000105105111 in words is "one trillion, one hundred five million, one hundred five thousand, one hundred eleven".