19107532900 has 81 divisors (see below), whose sum is σ = 43416721803. Its totient is φ = 7298544000.

The previous prime is 19107532897. The next prime is 19107532919. The reversal of 19107532900 is 923570191.

The square root of 19107532900 is 138230.

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 1016206884 + 18091326016 = 31878^2 + 134504^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19107532900.

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, 31792600 + ... + 31793200.

Almost surely, 2^19107532900 is an apocalyptic number.

19107532900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19107532900 is the 138230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19107532900

19107532900 is an abundant number, since it is smaller than the sum of its proper divisors (24309188903).

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

19107532900 is an equidigital number, since it uses as much as digits as its factorization.

19107532900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 37.

The spelling of 19107532900 in words is "nineteen billion, one hundred seven million, five hundred thirty-two thousand, nine hundred".