10204160 has 44 divisors (see below), whose sum is σ = 24490308. Its totient is φ = 4079616.

The previous prime is 10204153. The next prime is 10204169. The reversal of 10204160 is 6140201.

It can be written as a sum of positive squares in 2 ways, for example, as 5607424 + 4596736 = 2368^2 + 2144^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204169) 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, 4124 + ... + 6116.

Almost surely, 2^10204160 is an apocalyptic number.

10204160 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 10204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12245154).

10204160 is an abundant number, since it is smaller than the sum of its proper divisors (14286148).

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

10204160 is an equidigital number, since it uses as much as digits as its factorization.

10204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10204160 is about 3194.3950914062. The cubic root of 10204160 is about 216.8997675374.

Adding to 10204160 its reverse (6140201), we get a palindrome (16344361).

The spelling of 10204160 in words is "ten million, two hundred four thousand, one hundred sixty".