2100105252 has 96 divisors (see below), whose sum is σ = 6493132800. Its totient is φ = 573937056.

The previous prime is 2100105223. The next prime is 2100105317. The reversal of 2100105252 is 2525010012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43002 + ... + 77777.

It is an arithmetic number, because the mean of its divisors is an integer number (67636800).

Almost surely, 2^2100105252 is an apocalyptic number.

It is an amenable number.

2100105252 is an abundant number, since it is smaller than the sum of its proper divisors (4393027548).

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

2100105252 is a wasteful number, since it uses less digits than its factorization.

2100105252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120822 (or 120814 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2100105252 is about 45826.9053286385. The cubic root of 2100105252 is about 1280.6005588393.

Adding to 2100105252 its reverse (2525010012), we get a palindrome (4625115264).

The spelling of 2100105252 in words is "two billion, one hundred million, one hundred five thousand, two hundred fifty-two".