10220160 has 64 divisors (see below), whose sum is σ = 32582880. Its totient is φ = 2724864.

The previous prime is 10220159. The next prime is 10220239. The reversal of 10220160 is 6102201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 742 + ... + 4581.

Almost surely, 2^10220160 is an apocalyptic number.

10220160 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 10220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16291440).

10220160 is an abundant number, since it is smaller than the sum of its proper divisors (22362720).

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

10220160 is an equidigital number, since it uses as much as digits as its factorization.

10220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10220160 is about 3196.8984969811. The cubic root of 10220160 is about 217.0130737449.

Adding to 10220160 its reverse (6102201), we get a palindrome (16322361).

The spelling of 10220160 in words is "ten million, two hundred twenty thousand, one hundred sixty".