2105042000 has 160 divisors (see below), whose sum is σ = 5451642144. Its totient is φ = 783360000.

The previous prime is 2105041957. The next prime is 2105042021. The reversal of 2105042000 is 2405012.

It can be written as a sum of positive squares in 16 ways, for example, as 1335756304 + 769285696 = 36548^2 + 27736^2 .

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, 3433694 + ... + 3434306.

Almost surely, 2^2105042000 is an apocalyptic number.

2105042000 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 2105042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725821072).

2105042000 is an abundant number, since it is smaller than the sum of its proper divisors (3346600144).

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

2105042000 is a wasteful number, since it uses less digits than its factorization.

2105042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2105042000 is about 45880.7366985318. The cubic root of 2105042000 is about 1281.6032157236.

Adding to 2105042000 its reverse (2405012), we get a palindrome (2107447012).

The spelling of 2105042000 in words is "two billion, one hundred five million, forty-two thousand".