10006061104 has 80 divisors (see below), whose sum is σ = 21286137600. Its totient is φ = 4528320768.

The previous prime is 10006061101. The next prime is 10006061113. The reversal of 10006061104 is 40116060001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10006061101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6417477 + ... + 6419035.

It is an arithmetic number, because the mean of its divisors is an integer number (266076720).

Almost surely, 2^10006061104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10006061104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10643068800).

10006061104 is an abundant number, since it is smaller than the sum of its proper divisors (11280076496).

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

10006061104 is a wasteful number, since it uses less digits than its factorization.

10006061104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 10006061104 in words is "ten billion, six million, sixty-one thousand, one hundred four".