10500134535 has 48 divisors (see below), whose sum is σ = 20094092928. Its totient is φ = 5029617600.

The previous prime is 10500134531. The next prime is 10500134621. The reversal of 10500134535 is 53543100501.

It is not a de Polignac number, because 10500134535 - 2² = 10500134531 is a prime.

It is a super-4 number, since 4×10500134535⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10500134499 and 10500134508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500134531) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 86701 + ... + 168870.

It is an arithmetic number, because the mean of its divisors is an integer number (418626936).

Almost surely, 2^10500134535 is an apocalyptic number.

10500134535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10500134535 is a deficient number, since it is larger than the sum of its proper divisors (9593958393).

10500134535 is a wasteful number, since it uses less digits than its factorization.

10500134535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255676 (or 255673 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 10500134535 in words is "ten billion, five hundred million, one hundred thirty-four thousand, five hundred thirty-five".