10005368540 has 12 divisors (see below), whose sum is σ = 21011273976. Its totient is φ = 4002147408.

The previous prime is 10005368537. The next prime is 10005368551. The reversal of 10005368540 is 4586350001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10005368497 and 10005368506.

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 3 ways as a sum of consecutive naturals, for example, 250134194 + ... + 250134233.

It is an arithmetic number, because the mean of its divisors is an integer number (1750939498).

Almost surely, 2^10005368540 is an apocalyptic number.

10005368540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005368540 is an abundant number, since it is smaller than the sum of its proper divisors (11005905436).

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

10005368540 is a wasteful number, since it uses less digits than its factorization.

10005368540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500268436 (or 500268434 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 10005368540 in words is "ten billion, five million, three hundred sixty-eight thousand, five hundred forty".