19100 has 18 divisors (see below), whose sum is σ = 41664. Its totient is φ = 7600.

The previous prime is 19087. The next prime is 19121. The reversal of 19100 is 191.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5 + ... + 195.

2¹⁹¹⁰⁰ is an apocalyptic number.

19100 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 19100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20832).

19100 is an abundant number, since it is smaller than the sum of its proper divisors (22564).

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

19100 is a wasteful number, since it uses less digits than its factorization.

19100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 19100 is about 138.2027496109. The cubic root of 19100 is about 26.7307486606.

Adding to 19100 its reverse (191), we get a palindrome (19291).

Multiplying 19100 by its reverse (191), we get a square (3648100 = 1910²).

19100 divided by its reverse (191) gives a square (100 = 10²).

The spelling of 19100 in words is "nineteen thousand, one hundred".