1919316100 has 81 divisors (see below), whose sum is σ = 4523360877. Its totient is φ = 706567680.

The previous prime is 1919316053. The next prime is 1919316101. The reversal of 1919316100 is 16139191.

The square root of 1919316100 is 43810.

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 1918965636 + 350464 = 43806^2 + 592^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1919316101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5695132 + ... + 5695468.

Almost surely, 2^1919316100 is an apocalyptic number.

1919316100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1919316100 is the 43810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1919316100

1919316100 is an abundant number, since it is smaller than the sum of its proper divisors (2604044777).

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

1919316100 is a wasteful number, since it uses less digits than its factorization.

1919316100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 31.

The cubic root of 1919316100 is about 1242.7454128904.

The spelling of 1919316100 in words is "one billion, nine hundred nineteen million, three hundred sixteen thousand, one hundred".