10505264000023 has 16 divisors (see below), whose sum is σ = 11352870587520. Its totient is φ = 9663352671456.

The previous prime is 10505263999957. The next prime is 10505264000047. The reversal of 10505264000023 is 32000046250501.

It is a cyclic number.

It is not a de Polignac number, because 10505264000023 - 2²¹ = 10505261902871 is a prime.

It is a super-2 number, since 2×10505264000023² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10505263999955 and 10505264000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505264003023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3877236 + ... + 6003622.

It is an arithmetic number, because the mean of its divisors is an integer number (709554411720).

Almost surely, 2^{10505264000023} is an apocalyptic number.

10505264000023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10505264000023 is a deficient number, since it is larger than the sum of its proper divisors (847606587497).

10505264000023 is a wasteful number, since it uses less digits than its factorization.

10505264000023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127726.

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 10505264000023 in words is "ten trillion, five hundred five billion, two hundred sixty-four million, twenty-three", and thus it is an aban number.