10521540545103 has 192 divisors, whose sum is σ = 18795279360000. Its totient is φ = 5660370616320.

The previous prime is 10521540545077. The next prime is 10521540545111. The reversal of 10521540545103 is 30154504512501.

10521540545103 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 1 + 5 + 4 + 0 + 545 + 103 = 666.

It is not a de Polignac number, because 10521540545103 - 2⁶ = 10521540545039 is a prime.

It is a super-2 number, since 2×10521540545103² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10521540545203) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1057542573 + ... + 1057552521.

It is an arithmetic number, because the mean of its divisors is an integer number (97892080000).

Almost surely, 2^{10521540545103} is an apocalyptic number.

10521540545103 is a deficient number, since it is larger than the sum of its proper divisors (8273738814897).

10521540545103 is a wasteful number, since it uses less digits than its factorization.

10521540545103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10307 (or 10290 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 10521540545103 in words is "ten trillion, five hundred twenty-one billion, five hundred forty million, five hundred forty-five thousand, one hundred three".