2105258112 has 192 divisors, whose sum is σ = 6308789760. Its totient is φ = 673136640.

The previous prime is 2105258107. The next prime is 2105258117. The reversal of 2105258112 is 2118525012.

It is a happy number.

2105258112 is a `hidden beast` number, since 21 + 0 + 52 + 581 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (2105258107) and next prime (2105258117).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2105258112² = 8864223436283609088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2105258117) 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, 5963728 + ... + 5964080.

It is an arithmetic number, because the mean of its divisors is an integer number (32858280).

Almost surely, 2^2105258112 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 2105258112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154394880).

2105258112 is an abundant number, since it is smaller than the sum of its proper divisors (4203531648).

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

2105258112 is a wasteful number, since it uses less digits than its factorization.

2105258112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 2105258112 is about 45883.0917877163. The cubic root of 2105258112 is about 1281.6470723872.

The spelling of 2105258112 in words is "two billion, one hundred five million, two hundred fifty-eight thousand, one hundred twelve".