2252106100 has 36 divisors (see below), whose sum is σ = 5144288800. Its totient is φ = 853428960.

The previous prime is 2252106091. The next prime is 2252106151. The reversal of 2252106100 is 16012522.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 590760 + ... + 594559.

Almost surely, 2^2252106100 is an apocalyptic number.

2252106100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252106100 is an abundant number, since it is smaller than the sum of its proper divisors (2892182700).

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

2252106100 is a wasteful number, since it uses less digits than its factorization.

2252106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185352 (or 1185345 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2252106100 is about 47456.3599531190. The cubic root of 2252106100 is about 1310.7794246723.

Adding to 2252106100 its reverse (16012522), we get a palindrome (2268118622).

The spelling of 2252106100 in words is "two billion, two hundred fifty-two million, one hundred six thousand, one hundred".