1006106000016 has 80 divisors (see below), whose sum is σ = 2799455726144. Its totient is φ = 309524931072.

The previous prime is 1006105999981. The next prime is 1006106000027. The reversal of 1006106000016 is 6100006016001.

It is a junction number, because it is equal to n+sod(n) for n = 1006105999956 and 1006106000001.

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 15 ways as a sum of consecutive naturals, for example, 4193250 + ... + 4426686.

Almost surely, 2^{1006106000016} is an apocalyptic number.

1006106000016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1006106000016 is an abundant number, since it is smaller than the sum of its proper divisors (1793349726128).

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

1006106000016 is a wasteful number, since it uses less digits than its factorization.

1006106000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240368 (or 240362 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 1006106000016 in words is "one trillion, six billion, one hundred six million, sixteen", and thus it is an aban number.