2105204101 has 72 divisors (see below), whose sum is σ = 2932028928. Its totient is φ = 1506304800.

The previous prime is 2105204089. The next prime is 2105204159. The reversal of 2105204101 is 1014025012.

It is not a de Polignac number, because 2105204101 - 2⁷ = 2105203973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105204701) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11021916 + ... + 11022106.

It is an arithmetic number, because the mean of its divisors is an integer number (40722624).

Almost surely, 2^2105204101 is an apocalyptic number.

It is an amenable number.

2105204101 is a deficient number, since it is larger than the sum of its proper divisors (826824827).

2105204101 is a wasteful number, since it uses less digits than its factorization.

2105204101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 2105204101 is about 45882.5032120088. The cubic root of 2105204101 is about 1281.6361119525.

Adding to 2105204101 its reverse (1014025012), we get a palindrome (3119229113).

Subtracting from 2105204101 its reverse (1014025012), we obtain a square (1091179089 = 33033²).

The spelling of 2105204101 in words is "two billion, one hundred five million, two hundred four thousand, one hundred one".