10512 has 30 divisors (see below), whose sum is σ = 29822. Its totient is φ = 3456.

The previous prime is 10501. The next prime is 10513. The reversal of 10512 is 21501.

It is a happy number.

10512 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 9216 + 1296 = 96^2 + 36^2 .

It is a super-2 number, since 2×10512² = 221004288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 10494 and 10503.

It is not an unprimeable number, because it can be changed into a prime (10513) by changing a digit.

10512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108 + ... + 180.

2¹⁰⁵¹² is an apocalyptic number.

10512 is a gapful number since it is divisible by the number (12) 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 10512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14911).

10512 is an abundant number, since it is smaller than the sum of its proper divisors (19310).

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

10512 is a wasteful number, since it uses less digits than its factorization.

10512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10512 is about 102.5280449438. The cubic root of 10512 is about 21.9059344648.

The spelling of 10512 in words is "ten thousand, five hundred twelve".