2100000906 has 12 divisors (see below), whose sum is σ = 4550002002. Its totient is φ = 700000296.

The previous prime is 2100000893. The next prime is 2100000907. The reversal of 2100000906 is 6090000012.

It can be written as a sum of positive squares in only one way, i.e., 1149820281 + 950180625 = 33909^2 + 30825^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 116666717 = 2100000906 / (2 + 1 + 0 + 0 + 0 + 0 + 0 + 9 + 0 + 6).

It is not an unprimeable number, because it can be changed into a prime (2100000907) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 58333341 + ... + 58333376.

Almost surely, 2^2100000906 is an apocalyptic number.

2100000906 is an abundant number, since it is smaller than the sum of its proper divisors (2450001096).

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

2100000906 is a wasteful number, since it uses less digits than its factorization.

2100000906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116666725 (or 116666722 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2100000906 is about 45825.7668348278. The cubic root of 2100000906 is about 1280.5793491469.

Adding to 2100000906 its reverse (6090000012), we get a palindrome (8190000918).

The spelling of 2100000906 in words is "two billion, one hundred million, nine hundred six", and thus it is an aban number.