10216160 has 48 divisors (see below), whose sum is σ = 24521616. Its totient is φ = 4021248.

The previous prime is 10216159. The next prime is 10216187. The reversal of 10216160 is 6161201.

10216160 = T₂₀₁₉ + T₂₀₂₀ + ... + T₂₀₂₃.

It is a happy number.

10216160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10244 + ... + 11196.

It is an arithmetic number, because the mean of its divisors is an integer number (510867).

Almost surely, 2^10216160 is an apocalyptic number.

10216160 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 10216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12260808).

10216160 is an abundant number, since it is smaller than the sum of its proper divisors (14305456).

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

10216160 is an equidigital number, since it uses as much as digits as its factorization.

10216160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 10216160 is about 3196.2728294062. The cubic root of 10216160 is about 216.9847582859.

Adding to 10216160 its reverse (6161201), we get a palindrome (16377361).

The spelling of 10216160 in words is "ten million, two hundred sixteen thousand, one hundred sixty".