3190903416100 has 81 divisors (see below), whose sum is σ = 7023282809907. Its totient is φ = 1258362506880.

The previous prime is 3190903416097. The next prime is 3190903416131. The reversal of 3190903416100 is 16143090913.

The square root of 3190903416100 is 1786310.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17460451044 + 3173442965056 = 132138^2 + 1781416^2 .

It is a super-2 number, since 2×3190903416100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3190903416100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1304005077 + ... + 1304007523.

Almost surely, 2^{3190903416100} is an apocalyptic number.

3190903416100 is the 1786310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3190903416100

3190903416100 is an abundant number, since it is smaller than the sum of its proper divisors (3832379393807).

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

3190903416100 is an frugal number, since it uses more digits than its factorization.

3190903416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The spelling of 3190903416100 in words is "three trillion, one hundred ninety billion, nine hundred three million, four hundred sixteen thousand, one hundred".