9100000016 has 20 divisors (see below), whose sum is σ = 18239225100. Its totient is φ = 4393103232.

The previous prime is 9100000009. The next prime is 9100000037. The reversal of 9100000016 is 6100000019.

9100000016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2294410000 + 6805590016 = 47900^2 + 82496^2 .

9100000016 is a strobogrammatic number because it is the same when read upside-down.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9805571 + ... + 9806498.

It is an arithmetic number, because the mean of its divisors is an integer number (911961255).

Almost surely, 2^9100000016 is an apocalyptic number.

It is an amenable number.

9100000016 is an abundant number, since it is smaller than the sum of its proper divisors (9139225084).

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

9100000016 is a wasteful number, since it uses less digits than its factorization.

9100000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19612106 (or 19612100 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 9100000016 is about 95393.9202255574. The cubic root of 9100000016 is about 2087.7594798870.

The spelling of 9100000016 in words is "nine billion, one hundred million, sixteen", and thus it is an aban number.