10682003040 has 192 divisors, whose sum is σ = 35710004736. Its totient is φ = 2674778112.

The previous prime is 10682003039. The next prime is 10682003047. The reversal of 10682003040 is 4030028601.

It is a happy number.

10682003040 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 2×10682003040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10682003040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10682003047) 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 31 ways as a sum of consecutive naturals, for example, 4266429 + ... + 4268931.

It is an arithmetic number, because the mean of its divisors is an integer number (185989608).

Almost surely, 2^10682003040 is an apocalyptic number.

10682003040 is a gapful number since it is divisible by the number (10) 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 10682003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17855002368).

10682003040 is an abundant number, since it is smaller than the sum of its proper divisors (25028001696).

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

10682003040 is a wasteful number, since it uses less digits than its factorization.

10682003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 10682003040 in words is "ten billion, six hundred eighty-two million, three thousand, forty".