2009100 has 72 divisors (see below), whose sum is σ = 6003088. Its totient is φ = 518400.

The previous prime is 2009093. The next prime is 2009107. The reversal of 2009100 is 19002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2009093) and next prime (2009107).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2009107) 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, 11010 + ... + 11190.

2^2009100 is an apocalyptic number.

2009100 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 2009100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001544).

2009100 is an abundant number, since it is smaller than the sum of its proper divisors (3993988).

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

2009100 is a wasteful number, since it uses less digits than its factorization.

2009100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2009100 is about 1417.4272468102. The cubic root of 2009100 is about 126.1829039289.

The spelling of 2009100 in words is "two million, nine thousand, one hundred".