2006100 has 72 divisors (see below), whose sum is σ = 6457920. Its totient is φ = 534240.

The previous prime is 2006093. The next prime is 2006111. The reversal of 2006100 is 16002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2329 + ... + 3071.

2^2006100 is an apocalyptic number.

2006100 is a gapful number since it is divisible by the number (20) 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 2006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228960).

2006100 is an abundant number, since it is smaller than the sum of its proper divisors (4451820).

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

2006100 is a wasteful number, since it uses less digits than its factorization.

2006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2006100 is about 1416.3685960935. The cubic root of 2006100 is about 126.1200669563.

The spelling of 2006100 in words is "two million, six thousand, one hundred".