2101008 has 120 divisors (see below), whose sum is σ = 6898368. Its totient is φ = 539136.

The previous prime is 2101007. The next prime is 2101019. The reversal of 2101008 is 8001012.

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 = 2100984 and 2101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56766 + ... + 56802.

2^2101008 is an apocalyptic number.

2101008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449184).

2101008 is an abundant number, since it is smaller than the sum of its proper divisors (4797360).

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

2101008 is a wasteful number, since it uses less digits than its factorization.

2101008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 62 counting only the distinct ones).

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

The square root of 2101008 is about 1449.4854259357. The cubic root of 2101008 is about 128.0784024880.

The spelling of 2101008 in words is "two million, one hundred one thousand, eight".