19189743972100 has 243 divisors, whose sum is σ = 46635740682111. Its totient is φ = 6850573142400.

The previous prime is 19189743972089. The next prime is 19189743972103. The reversal of 19189743972100 is 127934798191.

The square root of 19189743972100 is 4380610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4946184896004 + 14243559076096 = 2224002^2 + 3774064^2 .

It is not an unprimeable number, because it can be changed into a prime (19189743972103) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17653857757 + ... + 17653858843.

Almost surely, 2^{19189743972100} is an apocalyptic number.

19189743972100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19189743972100 is the 4380610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19189743972100

19189743972100 is an abundant number, since it is smaller than the sum of its proper divisors (27445996710011).

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

19189743972100 is a wasteful number, since it uses less digits than its factorization.

19189743972100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 61.

The spelling of 19189743972100 in words is "nineteen trillion, one hundred eighty-nine billion, seven hundred forty-three million, nine hundred seventy-two thousand, one hundred".