19053312300100 has 81 divisors (see below), whose sum is σ = 44772107661477. Its totient is φ = 7034859636480.

The previous prime is 19053312300083. The next prime is 19053312300119. The reversal of 19053312300100 is 100321335091.

The square root of 19053312300100 is 4365010.

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

It can be written as a sum of positive squares in 13 ways, for example, as 15080593623876 + 3972718676224 = 3883374^2 + 1993168^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 567434512 + ... + 567468088.

Almost surely, 2^{19053312300100} is an apocalyptic number.

19053312300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19053312300100 is the 4365010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19053312300100

19053312300100 is an abundant number, since it is smaller than the sum of its proper divisors (25718795361377).

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

19053312300100 is an frugal number, since it uses more digits than its factorization.

19053312300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67194 (or 33597 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

Adding to 19053312300100 its reverse (100321335091), we get a palindrome (19153633635191).

The spelling of 19053312300100 in words is "nineteen trillion, fifty-three billion, three hundred twelve million, three hundred thousand, one hundred".