19046760100 has 81 divisors (see below), whose sum is σ = 42592916457. Its totient is φ = 7392919680.

The previous prime is 19046760079. The next prime is 19046760113. The reversal of 19046760100 is 106764091.

The square root of 19046760100 is 138010.

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 3289481316 + 15757278784 = 57354^2 + 125528^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51063514 + ... + 51063886.

Almost surely, 2^19046760100 is an apocalyptic number.

19046760100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19046760100 is the 138010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19046760100

19046760100 is an abundant number, since it is smaller than the sum of its proper divisors (23546156357).

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

19046760100 is an equidigital number, since it uses as much as digits as its factorization.

19046760100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 19046760100 in words is "nineteen billion, forty-six million, seven hundred sixty thousand, one hundred".