2005106364 has 72 divisors (see below), whose sum is σ = 5146766352. Its totient is φ = 658099200.

The previous prime is 2005106359. The next prime is 2005106399. The reversal of 2005106364 is 4636015002.

2005106364 is a `hidden beast` number, since 20 + 0 + 5 + 1 + 0 + 636 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1053814 + ... + 1055714.

It is an arithmetic number, because the mean of its divisors is an integer number (71482866).

Almost surely, 2^2005106364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005106364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573383176).

2005106364 is an abundant number, since it is smaller than the sum of its proper divisors (3141659988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005106364 is a wasteful number, since it uses less digits than its factorization.

2005106364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2005106364 is about 44778.4140406960. The cubic root of 2005106364 is about 1260.9924078696.

The spelling of 2005106364 in words is "two billion, five million, one hundred six thousand, three hundred sixty-four".