10983307104 has 480 divisors, whose sum is σ = 40711942656. Its totient is φ = 2821754880.

The previous prime is 10983307087. The next prime is 10983307133. The reversal of 10983307104 is 40170338901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 22552749 + ... + 22553235.

Almost surely, 2^10983307104 is an apocalyptic number.

10983307104 is a gapful number since it is divisible by the number (14) 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 10983307104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355971328).

10983307104 is an abundant number, since it is smaller than the sum of its proper divisors (29728635552).

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

10983307104 is a wasteful number, since it uses less digits than its factorization.

10983307104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10983307104 in words is "ten billion, nine hundred eighty-three million, three hundred seven thousand, one hundred four".