19102004100 has 243 divisors, whose sum is σ = 63838922511. Its totient is φ = 4776537600.

The previous prime is 19102004059. The next prime is 19102004123. The reversal of 19102004100 is 140020191.

The square root of 19102004100 is 138210.

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 446815044 + 18655189056 = 21138^2 + 136584^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 70486965 + ... + 70487235.

Almost surely, 2^19102004100 is an apocalyptic number.

19102004100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19102004100 is the 138210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19102004100

19102004100 is an abundant number, since it is smaller than the sum of its proper divisors (44736918411).

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

19102004100 is a wasteful number, since it uses less digits than its factorization.

19102004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 19102004100 its reverse (140020191), we get a palindrome (19242024291).

The spelling of 19102004100 in words is "nineteen billion, one hundred two million, four thousand, one hundred".