2100000108 has 48 divisors (see below), whose sum is σ = 4935936096. Its totient is φ = 694886400.

The previous prime is 2100000101. The next prime is 2100000127. The reversal of 2100000108 is 8010000012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2100000093 and 2100000102.

It is not an unprimeable number, because it can be changed into a prime (2100000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1120260 + ... + 1122132.

It is an arithmetic number, because the mean of its divisors is an integer number (102832002).

Almost surely, 2^2100000108 is an apocalyptic number.

It is an amenable number.

2100000108 is an abundant number, since it is smaller than the sum of its proper divisors (2835935988).

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

2100000108 is a wasteful number, since it uses less digits than its factorization.

2100000108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2100000108 is about 45825.7581279350. The cubic root of 2100000108 is about 1280.5791869403.

The spelling of 2100000108 in words is "two billion, one hundred million, one hundred eight", and thus it is an aban number.