2007100 has 18 divisors (see below), whose sum is σ = 4355624. Its totient is φ = 802800.

The previous prime is 2007097. The next prime is 2007107. The reversal of 2007100 is 17002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9936 + ... + 10135.

2^2007100 is an apocalyptic number.

2007100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2007100 is an abundant number, since it is smaller than the sum of its proper divisors (2348524).

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

2007100 is a wasteful number, since it uses less digits than its factorization.

2007100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20085 (or 20078 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 2007100 is about 1416.7215675636. The cubic root of 2007100 is about 126.1410195702.

The spelling of 2007100 in words is "two million, seven thousand, one hundred".