2105748900 has 360 divisors, whose sum is σ = 7259535360. Its totient is φ = 526901760.

The previous prime is 2105748893. The next prime is 2105748901. The reversal of 2105748900 is 98475012.

2105748900 is a `hidden beast` number, since 2 + 1 + 0 + 574 + 89 + 0 + 0 = 666.

2105748900 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2105748901) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16580637 + ... + 16580763.

It is an arithmetic number, because the mean of its divisors is an integer number (20165376).

Almost surely, 2^2105748900 is an apocalyptic number.

2105748900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105748900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629767680).

2105748900 is an abundant number, since it is smaller than the sum of its proper divisors (5153786460).

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

2105748900 is a wasteful number, since it uses less digits than its factorization.

2105748900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2105748900 is about 45888.4397206965. The cubic root of 2105748900 is about 1281.7466592464.

The spelling of 2105748900 in words is "two billion, one hundred five million, seven hundred forty-eight thousand, nine hundred".