10500162516 has 30 divisors (see below), whose sum is σ = 27449499770. Its totient is φ = 3500054064.

The previous prime is 10500162503. The next prime is 10500162581. The reversal of 10500162516 is 61526100501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10240630416 + 259532100 = 101196^2 + 16110^2 .

It is a super-2 number, since 2×10500162516² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10500162516.

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 9 ways as a sum of consecutive naturals, for example, 16203631 + ... + 16204278.

Almost surely, 2^10500162516 is an apocalyptic number.

It is an amenable number.

10500162516 is an abundant number, since it is smaller than the sum of its proper divisors (16949337254).

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

10500162516 is a wasteful number, since it uses less digits than its factorization.

10500162516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32407925 (or 32407914 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 10500162516 in words is "ten billion, five hundred million, one hundred sixty-two thousand, five hundred sixteen".