1919915072100 has 81 divisors (see below), whose sum is σ = 6017997427897. Its totient is φ = 511966267680.

The previous prime is 1919915072077. The next prime is 1919915072143. The reversal of 1919915072100 is 12705199191.

The square root of 1919915072100 is 1385610.

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

It can be written as a sum of positive squares in only one way, i.e., 691169425956 + 1228745646144 = 831366^2 + 1108488^2 .

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 polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41545207 + ... + 41591393.

Almost surely, 2^{1919915072100} is an apocalyptic number.

1919915072100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1919915072100 is the 1385610-th square number.

It is an amenable number.

1919915072100 is an abundant number, since it is smaller than the sum of its proper divisors (4098082355797).

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

1919915072100 is an frugal number, since it uses more digits than its factorization.

1919915072100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92394 (or 46197 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 45.

The spelling of 1919915072100 in words is "one trillion, nine hundred nineteen billion, nine hundred fifteen million, seventy-two thousand, one hundred".