10005050100006 has 96 divisors (see below), whose sum is σ = 23815651335840. Its totient is φ = 3016965699072.

The previous prime is 10005050099999. The next prime is 10005050100013. The reversal of 10005050100006 is 60000105050001.

It is an interprime number because it is at equal distance from previous prime (10005050099999) and next prime (10005050100013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 816565 + ... + 4547183.

It is an arithmetic number, because the mean of its divisors is an integer number (248079701415).

Almost surely, 2^{10005050100006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10005050100006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11907825667920).

10005050100006 is an abundant number, since it is smaller than the sum of its proper divisors (13810601235834).

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

10005050100006 is a wasteful number, since it uses less digits than its factorization.

10005050100006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730870 (or 3730867 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 10005050100006 its reverse (60000105050001), we get a palindrome (70005155150007).

The spelling of 10005050100006 in words is "ten trillion, five billion, fifty million, one hundred thousand, six".