16128945105 has 144 divisors (see below), whose sum is σ = 33309771264. Its totient is φ = 6637962240.

The previous prime is 16128945083. The next prime is 16128945113. The reversal of 16128945105 is 50154982161.

16128945105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16128945105 - 2⁵ = 16128945073 is a prime.

It is a super-2 number, since 2×16128945105² (a number of 21 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 5091232 + ... + 5094398.

It is an arithmetic number, because the mean of its divisors is an integer number (231317856).

Almost surely, 2^16128945105 is an apocalyptic number.

16128945105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16128945105 is an abundant number, since it is smaller than the sum of its proper divisors (17180826159).

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

16128945105 is a wasteful number, since it uses less digits than its factorization.

16128945105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 16128945105 in words is "sixteen billion, one hundred twenty-eight million, nine hundred forty-five thousand, one hundred five".