2100108 has 48 divisors (see below), whose sum is σ = 5277440. Its totient is φ = 648000.

The previous prime is 2100097. The next prime is 2100113. The reversal of 2100108 is 8010012.

It is a happy number.

It is a super-2 number, since 2×2100108² = 8820907223328, which contains 22 as substring.

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 = 2100093 and 2100102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13833 + ... + 13983.

2^2100108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638720).

2100108 is an abundant number, since it is smaller than the sum of its proper divisors (3177332).

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

2100108 is a wasteful number, since it uses less digits than its factorization.

2100108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 236 counting only the distinct ones).

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

The square root of 2100108 is about 1449.1749376801. The cubic root of 2100108 is about 128.0601117397.

The spelling of 2100108 in words is "two million, one hundred thousand, one hundred eight".