1005105606001 has 8 divisors (see below), whose sum is σ = 1170365557824. Its totient is φ = 845264013360.

The previous prime is 1005105605993. The next prime is 1005105606031. The reversal of 1005105606001 is 1006065015001.

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 1005105606001 - 2³ = 1005105605993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005105606031) 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, 1354589395 + ... + 1354590136.

It is an arithmetic number, because the mean of its divisors is an integer number (146295694728).

Almost surely, 2^{1005105606001} is an apocalyptic number.

It is an amenable number.

1005105606001 is a deficient number, since it is larger than the sum of its proper divisors (165259951823).

1005105606001 is an equidigital number, since it uses as much as digits as its factorization.

1005105606001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709179591.

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 1005105606001 in words is "one trillion, five billion, one hundred five million, six hundred six thousand, one".