10003540 has 12 divisors (see below), whose sum is σ = 21007476. Its totient is φ = 4001408.

The previous prime is 10003529. The next prime is 10003541. The reversal of 10003540 is 4530001.

It can be written as a sum of positive squares in 2 ways, for example, as 2702736 + 7300804 = 1644^2 + 2702^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10003540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003541) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250069 + ... + 250108.

It is an arithmetic number, because the mean of its divisors is an integer number (1750623).

Almost surely, 2^10003540 is an apocalyptic number.

10003540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003540 is an abundant number, since it is smaller than the sum of its proper divisors (11003936).

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

10003540 is a wasteful number, since it uses less digits than its factorization.

10003540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500186 (or 500184 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 10003540 is about 3162.8373337875. The cubic root of 10003540 is about 215.4688883333.

Adding to 10003540 its reverse (4530001), we get a palindrome (14533541).

The spelling of 10003540 in words is "ten million, three thousand, five hundred forty".