2105766126 has 64 divisors (see below), whose sum is σ = 4835496960. Its totient is φ = 678754080.

The previous prime is 2105766119. The next prime is 2105766137. The reversal of 2105766126 is 6216675012.

It is a happy number.

2105766126 is a `hidden beast` number, since 2 + 1 + 0 + 576 + 61 + 26 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330511 + ... + 336821.

It is an arithmetic number, because the mean of its divisors is an integer number (75554640).

Almost surely, 2^2105766126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105766126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417748480).

2105766126 is an abundant number, since it is smaller than the sum of its proper divisors (2729730834).

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

2105766126 is a wasteful number, since it uses less digits than its factorization.

2105766126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6526 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2105766126 is about 45888.6274146438. The cubic root of 2105766126 is about 1281.7501543304.

The spelling of 2105766126 in words is "two billion, one hundred five million, seven hundred sixty-six thousand, one hundred twenty-six".