19129656100 has 27 divisors (see below), whose sum is σ = 41514355281. Its totient is φ = 7651309200.

The previous prime is 19129656067. The next prime is 19129656101. The reversal of 19129656100 is 165692191.

The square root of 19129656100 is 138310.

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., 6886676196 + 12242979904 = 82986^2 + 110648^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19129656101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1376185 + ... + 1390015.

Almost surely, 2^19129656100 is an apocalyptic number.

19129656100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19129656100 is the 138310-th square number.

It is an amenable number.

19129656100 is an abundant number, since it is smaller than the sum of its proper divisors (22384699181).

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

19129656100 is an frugal number, since it uses more digits than its factorization.

19129656100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27676 (or 13838 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 40.

The spelling of 19129656100 in words is "nineteen billion, one hundred twenty-nine million, six hundred fifty-six thousand, one hundred".