2105042600 has 96 divisors (see below), whose sum is σ = 5122410240. Its totient is φ = 803520000.

The previous prime is 2105042581. The next prime is 2105042617. The reversal of 2105042600 is 62405012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450275 + ... + 454925.

It is an arithmetic number, because the mean of its divisors is an integer number (53358440).

Almost surely, 2^2105042600 is an apocalyptic number.

2105042600 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 2105042600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561205120).

2105042600 is an abundant number, since it is smaller than the sum of its proper divisors (3017367640).

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

2105042600 is a wasteful number, since it uses less digits than its factorization.

2105042600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771 (or 4762 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2105042600 is about 45880.7432372232. The cubic root of 2105042600 is about 1281.6033374887.

Adding to 2105042600 its reverse (62405012), we get a palindrome (2167447612).

The spelling of 2105042600 in words is "two billion, one hundred five million, forty-two thousand, six hundred".