19193073380100 has 81 divisors (see below), whose sum is σ = 60160034189983. Its totient is φ = 5118117853440.

The previous prime is 19193073380083. The next prime is 19193073380167. The reversal of 19193073380100 is 108337039191.

The square root of 19193073380100 is 4380990.

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

19193073380100 is a `hidden beast` number, since 1 + 9 + 1 + 9 + 307 + 338 + 0 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 182566489284 + 19010506890816 = 427278^2 + 4360104^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 131356684 + ... + 131502716.

Almost surely, 2^{19193073380100} is an apocalyptic number.

19193073380100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19193073380100 is the 4380990-th square number.

It is an amenable number.

19193073380100 is an abundant number, since it is smaller than the sum of its proper divisors (40966960809883).

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

19193073380100 is an frugal number, since it uses more digits than its factorization.

19193073380100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292086 (or 146043 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 19193073380100 in words is "nineteen trillion, one hundred ninety-three billion, seventy-three million, three hundred eighty thousand, one hundred".