10500160 has 112 divisors (see below), whose sum is σ = 28895040. Its totient is φ = 3594240.

The previous prime is 10500157. The next prime is 10500187. The reversal of 10500160 is 6100501.

10500160 = 548² + 549² + ... + 580².

It is a super-2 number, since 2×10500160² = 220506720051200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10500160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66802 + ... + 66958.

Almost surely, 2^10500160 is an apocalyptic number.

10500160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14447520).

10500160 is an abundant number, since it is smaller than the sum of its proper divisors (18394880).

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

10500160 is a wasteful number, since it uses less digits than its factorization.

10500160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 10500160 is about 3240.3950376459. The cubic root of 10500160 is about 218.9770692476.

Adding to 10500160 its reverse (6100501), we get a palindrome (16600661).

The spelling of 10500160 in words is "ten million, five hundred thousand, one hundred sixty".