10005203540 has 24 divisors (see below), whose sum is σ = 22116766560. Its totient is φ = 3791445408.

The previous prime is 10005203503. The next prime is 10005203557. The reversal of 10005203540 is 4530250001.

It is a super-3 number, since 3×10005203540³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13164362 + ... + 13165121.

It is an arithmetic number, because the mean of its divisors is an integer number (921531940).

Almost surely, 2^10005203540 is an apocalyptic number.

10005203540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005203540 is an abundant number, since it is smaller than the sum of its proper divisors (12111563020).

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

10005203540 is a wasteful number, since it uses less digits than its factorization.

10005203540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26329511 (or 26329509 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 10005203540 its reverse (4530250001), we get a palindrome (14535453541).

The spelling of 10005203540 in words is "ten billion, five million, two hundred three thousand, five hundred forty".