10006106100 has 72 divisors (see below), whose sum is σ = 29733492768. Its totient is φ = 2596176000.

The previous prime is 10006106087. The next prime is 10006106191. The reversal of 10006106100 is 160160001.

10006106100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10006106100.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 439626 + ... + 461825.

Almost surely, 2^10006106100 is an apocalyptic number.

10006106100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006106100 is an abundant number, since it is smaller than the sum of its proper divisors (19727386668).

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

10006106100 is a wasteful number, since it uses less digits than its factorization.

10006106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901505 (or 901498 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10006106100 its reverse (160160001), we get a palindrome (10166266101).

The spelling of 10006106100 in words is "ten billion, six million, one hundred six thousand, one hundred".