19380100 has 36 divisors (see below), whose sum is σ = 43042384. Its totient is φ = 7570080.

The previous prime is 19380083. The next prime is 19380103. The reversal of 19380100 is 108391.

It is not an unprimeable number, because it can be changed into a prime (19380103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2047 + ... + 6553.

Almost surely, 2^19380100 is an apocalyptic number.

19380100 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 19380100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21521192).

19380100 is an abundant number, since it is smaller than the sum of its proper divisors (23662284).

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

19380100 is a wasteful number, since it uses less digits than its factorization.

19380100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 19380100 is about 4402.2834983676. The cubic root of 19380100 is about 268.6078317833.

Adding to 19380100 its reverse (108391), we get a palindrome (19488491).

It can be divided in two parts, 19 and 380100, that multiplied together give a triangular number (7221900 = T₃₈₀₀).

The spelling of 19380100 in words is "nineteen million, three hundred eighty thousand, one hundred".