10006106000 has 80 divisors (see below), whose sum is σ = 26394346368. Its totient is φ = 3638576000.

The previous prime is 10006105997. The next prime is 10006106029. The reversal of 10006106000 is 60160001.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205412 + ... + 249411.

Almost surely, 2^10006106000 is an apocalyptic number.

10006106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006106000 is an abundant number, since it is smaller than the sum of its proper divisors (16388240368).

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

10006106000 is a wasteful number, since it uses less digits than its factorization.

10006106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454857 (or 454841 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10006106000 its reverse (60160001), we get a palindrome (10066266001).

The spelling of 10006106000 in words is "ten billion, six million, one hundred six thousand".