10605683382 has 96 divisors (see below), whose sum is σ = 25425631584. Its totient is φ = 2939328000.

The previous prime is 10605683377. The next prime is 10605683383. The reversal of 10605683382 is 28338650601.

10605683382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10605683382² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605683383) 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 47 ways as a sum of consecutive naturals, for example, 1305132 + ... + 1313232.

It is an arithmetic number, because the mean of its divisors is an integer number (264850329).

Almost surely, 2^10605683382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10605683382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12712815792).

10605683382 is an abundant number, since it is smaller than the sum of its proper divisors (14819948202).

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

10605683382 is a wasteful number, since it uses less digits than its factorization.

10605683382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254 (or 8247 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 10605683382 in words is "ten billion, six hundred five million, six hundred eighty-three thousand, three hundred eighty-two".