10484720106 has 96 divisors (see below), whose sum is σ = 25557114240. Its totient is φ = 2808317952.

The previous prime is 10484720083. The next prime is 10484720111. The reversal of 10484720106 is 60102748401.

10484720106 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon 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, 1467150 + ... + 1474278.

It is an arithmetic number, because the mean of its divisors is an integer number (266219940).

Almost surely, 2^10484720106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10484720106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12778557120).

10484720106 is an abundant number, since it is smaller than the sum of its proper divisors (15072394134).

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

10484720106 is a wasteful number, since it uses less digits than its factorization.

10484720106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7276 (or 7257 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 10484720106 in words is "ten billion, four hundred eighty-four million, seven hundred twenty thousand, one hundred six".