10521636345 has 96 divisors (see below), whose sum is σ = 21846464640. Its totient is φ = 4801213440.

The previous prime is 10521636319. The next prime is 10521636347. The reversal of 10521636345 is 54363612501.

10521636345 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 16 + 3 + 634 + 5 = 666.

It is not a de Polignac number, because 10521636345 - 2⁸ = 10521636089 is a prime.

It is a super-2 number, since 2×10521636345² (a number of 21 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10521636347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204051 + ... + 250359.

It is an arithmetic number, because the mean of its divisors is an integer number (227567340).

Almost surely, 2^10521636345 is an apocalyptic number.

10521636345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10521636345 is an abundant number, since it is smaller than the sum of its proper divisors (11324828295).

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

10521636345 is a wasteful number, since it uses less digits than its factorization.

10521636345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46357 (or 46345 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 10521636345 in words is "ten billion, five hundred twenty-one million, six hundred thirty-six thousand, three hundred forty-five".