19074372100 has 81 divisors (see below), whose sum is σ = 48173581407. Its totient is φ = 6536470080.

The previous prime is 19074372077. The next prime is 19074372133. The reversal of 19074372100 is 127347091.

The square root of 19074372100 is 138110.

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 3535253764 + 15539118336 = 59458^2 + 124656^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 9666714 + ... + 9668686.

Almost surely, 2^19074372100 is an apocalyptic number.

19074372100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19074372100 is the 138110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19074372100

19074372100 is an abundant number, since it is smaller than the sum of its proper divisors (29099209307).

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

19074372100 is an equidigital number, since it uses as much as digits as its factorization.

19074372100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The spelling of 19074372100 in words is "nineteen billion, seventy-four million, three hundred seventy-two thousand, one hundred".