10512160 has 24 divisors (see below), whose sum is σ = 24835356. Its totient is φ = 4204800.

The previous prime is 10512157. The next prime is 10512169. The reversal of 10512160 is 6121501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10010896 + 501264 = 3164^2 + 708^2 .

It is a super-3 number, since 3×10512160³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10512169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32691 + ... + 33010.

Almost surely, 2^10512160 is an apocalyptic number.

10512160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10512160 is an abundant number, since it is smaller than the sum of its proper divisors (14323196).

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

10512160 is an equidigital number, since it uses as much as digits as its factorization.

10512160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65716 (or 65708 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 10512160 is about 3242.2461350120. The cubic root of 10512160 is about 219.0604560545.

Adding to 10512160 its reverse (6121501), we get a palindrome (16633661).

It can be divided in two parts, 10 and 512160, that multiplied together give a triangular number (5121600 = T₃₂₀₀).

The spelling of 10512160 in words is "ten million, five hundred twelve thousand, one hundred sixty".