19205342112100 has 81 divisors (see below), whose sum is σ = 42102010612011. Its totient is φ = 7604323128000.

The previous prime is 19205342112049. The next prime is 19205342112107. The reversal of 19205342112100 is 121124350291.

The square root of 19205342112100 is 4382390.

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 3546163531876 + 15659178580224 = 1883126^2 + 3957168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19205342112107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4426211731 + ... + 4426216069.

Almost surely, 2^{19205342112100} is an apocalyptic number.

19205342112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19205342112100 is the 4382390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19205342112100

19205342112100 is an abundant number, since it is smaller than the sum of its proper divisors (22896668499911).

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

19205342112100 is an frugal number, since it uses more digits than its factorization.

19205342112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8894 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

Adding to 19205342112100 its reverse (121124350291), we get a palindrome (19326466462391).

The spelling of 19205342112100 in words is "nineteen trillion, two hundred five billion, three hundred forty-two million, one hundred twelve thousand, one hundred".