10006101005108 has 24 divisors (see below), whose sum is σ = 18893847054600. Its totient is φ = 4609336343040.

The previous prime is 10006101005093. The next prime is 10006101005113. The reversal of 10006101005108 is 80150010160001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 799561449124 + 9206539555984 = 894182^2 + 3034228^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184641833 + ... + 184696016.

It is an arithmetic number, because the mean of its divisors is an integer number (787243627275).

Almost surely, 2^{10006101005108} is an apocalyptic number.

It is an amenable number.

10006101005108 is a deficient number, since it is larger than the sum of its proper divisors (8887746049492).

10006101005108 is a wasteful number, since it uses less digits than its factorization.

10006101005108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369338387 (or 369338385 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 23.

Adding to 10006101005108 its reverse (80150010160001), we get a palindrome (90156111165109).

The spelling of 10006101005108 in words is "ten trillion, six billion, one hundred one million, five thousand, one hundred eight".