19346028100 has 81 divisors (see below), whose sum is σ = 48859491933. Its totient is φ = 6629585760.

The previous prime is 19346028083. The next prime is 19346028103. The reversal of 19346028100 is 182064391.

The square root of 19346028100 is 139090.

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., 6964570116 + 12381457984 = 83454^2 + 111272^2 .

It is a super-2 number, since 2×19346028100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19346028103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9735307 + ... + 9737293.

Almost surely, 2^19346028100 is an apocalyptic number.

19346028100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19346028100 is the 139090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19346028100

19346028100 is an abundant number, since it is smaller than the sum of its proper divisors (29513463833).

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

19346028100 is an equidigital number, since it uses as much as digits as its factorization.

19346028100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 19346028100 in words is "nineteen billion, three hundred forty-six million, twenty-eight thousand, one hundred".