19185020100 has 351 divisors, whose sum is σ = 65906879997. Its totient is φ = 4846741920.

The previous prime is 19185020087. The next prime is 19185020111. The reversal of 19185020100 is 102058191.

The square root of 19185020100 is 138510.

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., 6906607236 + 12278412864 = 83106^2 + 110808^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 1009737891 + ... + 1009737909.

Almost surely, 2^19185020100 is an apocalyptic number.

19185020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19185020100 is the 138510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19185020100

19185020100 is an abundant number, since it is smaller than the sum of its proper divisors (46721859897).

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

19185020100 is an frugal number, since it uses more digits than its factorization.

19185020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

Adding to 19185020100 its reverse (102058191), we get a palindrome (19287078291).

The spelling of 19185020100 in words is "nineteen billion, one hundred eighty-five million, twenty thousand, one hundred".