10100100006 has 32 divisors (see below), whose sum is σ = 22654442880. Its totient is φ = 3335233608.

The previous prime is 10100099981. The next prime is 10100100007. The reversal of 10100100006 is 60000100101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100100007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 868236 + ... + 879791.

It is an arithmetic number, because the mean of its divisors is an integer number (707951340).

Almost surely, 2^10100100006 is an apocalyptic number.

10100100006 is an abundant number, since it is smaller than the sum of its proper divisors (12554342874).

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

10100100006 is a wasteful number, since it uses less digits than its factorization.

10100100006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748145 (or 1748139 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10100100006 its reverse (60000100101), we get a palindrome (70100200107).

The spelling of 10100100006 in words is "ten billion, one hundred million, one hundred thousand, six".