10904083872 has 96 divisors (see below), whose sum is σ = 31293609984. Its totient is φ = 3297043200.

The previous prime is 10904083867. The next prime is 10904083873. The reversal of 10904083872 is 27838040901.

10904083872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10904083872² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10904083873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482097 + ... + 504207.

It is an arithmetic number, because the mean of its divisors is an integer number (325975104).

Almost surely, 2^10904083872 is an apocalyptic number.

10904083872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10904083872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15646804992).

10904083872 is an abundant number, since it is smaller than the sum of its proper divisors (20389526112).

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

10904083872 is a wasteful number, since it uses less digits than its factorization.

10904083872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22602 (or 22594 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 10904083872 in words is "ten billion, nine hundred four million, eighty-three thousand, eight hundred seventy-two".