1005106105011 has 24 divisors (see below), whose sum is σ = 1388541038592. Its totient is φ = 646687962000.

The previous prime is 1005106104967. The next prime is 1005106105021. The reversal of 1005106105011 is 1105016015001.

It is a happy number.

1005106105011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1005106105011 - 2¹⁴ = 1005106088627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005106105021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583086 + ... + 1533036.

It is an arithmetic number, because the mean of its divisors is an integer number (57855876608).

Almost surely, 2^{1005106105011} is an apocalyptic number.

1005106105011 is a deficient number, since it is larger than the sum of its proper divisors (383434933581).

1005106105011 is an equidigital number, since it uses as much as digits as its factorization.

1005106105011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950383 (or 950352 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

The spelling of 1005106105011 in words is "one trillion, five billion, one hundred six million, one hundred five thousand, eleven".