19966100 has 72 divisors (see below), whose sum is σ = 54038208. Its totient is φ = 6220800.

The previous prime is 19966091. The next prime is 19966129. The reversal of 19966100 is 166991.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6404 + ... + 8996.

Almost surely, 2^19966100 is an apocalyptic number.

19966100 is a gapful number since it is divisible by the number (10) 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 19966100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27019104).

19966100 is an abundant number, since it is smaller than the sum of its proper divisors (34072108).

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

19966100 is a wasteful number, since it uses less digits than its factorization.

19966100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 19966100 is about 4468.3442123453. The cubic root of 19966100 is about 271.2883103315.

The spelling of 19966100 in words is "nineteen million, nine hundred sixty-six thousand, one hundred".