2005106371 has 8 divisors (see below), whose sum is σ = 2077444080. Its totient is φ = 1932981792.

The previous prime is 2005106359. The next prime is 2005106399. The reversal of 2005106371 is 1736015002.

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 2005106371 - 2¹⁷ = 2004975299 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005106321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34005 + ... + 71878.

It is an arithmetic number, because the mean of its divisors is an integer number (259680510).

Almost surely, 2^2005106371 is an apocalyptic number.

2005106371 is a deficient number, since it is larger than the sum of its proper divisors (72337709).

2005106371 is a wasteful number, since it uses less digits than its factorization.

2005106371 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106565.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 2005106371 is about 44778.4141188587. The cubic root of 2005106371 is about 1260.9924093370.

The spelling of 2005106371 in words is "two billion, five million, one hundred six thousand, three hundred seventy-one".