10061005005104 has 160 divisors (see below), whose sum is σ = 21274001472000. Its totient is φ = 4593077913600.

The previous prime is 10061005005101. The next prime is 10061005005109. The reversal of 10061005005104 is 40150050016001.

It is a self number, because there is not a number n which added to its sum of digits gives 10061005005104.

It is not an unprimeable number, because it can be changed into a prime (10061005005101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508096004 + ... + 508115804.

It is an arithmetic number, because the mean of its divisors is an integer number (132962509200).

Almost surely, 2^{10061005005104} 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 10061005005104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10637000736000).

10061005005104 is an abundant number, since it is smaller than the sum of its proper divisors (11212996466896).

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

10061005005104 is a wasteful number, since it uses less digits than its factorization.

10061005005104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20291 (or 20285 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The spelling of 10061005005104 in words is "ten trillion, sixty-one billion, five million, five thousand, one hundred four".