1019473896100 has 243 divisors, whose sum is σ = 2486640642339. Its totient is φ = 362519097600.

The previous prime is 1019473896079. The next prime is 1019473896157. The reversal of 1019473896100 is 16983749101.

The square root of 1019473896100 is 1009690.

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 2974393444 + 1016499502656 = 54538^2 + 1008216^2 .

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 80 ways as a sum of consecutive naturals, for example, 7441415232 + ... + 7441415368.

Almost surely, 2^{1019473896100} is an apocalyptic number.

1019473896100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1019473896100 is the 1009690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1019473896100

1019473896100 is an abundant number, since it is smaller than the sum of its proper divisors (1467166746239).

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

1019473896100 is a wasteful number, since it uses less digits than its factorization.

1019473896100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

Multiplying 1019473896100 by its sum of digits (49), we get a square (49954220908900 = 7067830²).

The spelling of 1019473896100 in words is "one trillion, nineteen billion, four hundred seventy-three million, eight hundred ninety-six thousand, one hundred".