10144160 has 48 divisors (see below), whose sum is σ = 25814376. Its totient is φ = 3744768.

The previous prime is 10144159. The next prime is 10144181. The reversal of 10144160 is 6144101.

It can be written as a sum of positive squares in 4 ways, for example, as 5180176 + 4963984 = 2276^2 + 2228^2 .

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, 359 + ... + 4518.

Almost surely, 2^10144160 is an apocalyptic number.

10144160 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 10144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12907188).

10144160 is an abundant number, since it is smaller than the sum of its proper divisors (15670216).

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

10144160 is a wasteful number, since it uses less digits than its factorization.

10144160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4905 (or 4897 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 10144160 is about 3184.9897959020. The cubic root of 10144160 is about 216.4738112960.

Adding to 10144160 its reverse (6144101), we get a palindrome (16288261).

The spelling of 10144160 in words is "ten million, one hundred forty-four thousand, one hundred sixty".