10012160 has 40 divisors (see below), whose sum is σ = 24011856. Its totient is φ = 4003840.

The previous prime is 10012157. The next prime is 10012181. The reversal of 10012160 is 6121001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 605 + ... + 4515.

Almost surely, 2^10012160 is an apocalyptic number.

10012160 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 10012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12005928).

10012160 is an abundant number, since it is smaller than the sum of its proper divisors (13999696).

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

10012160 is an frugal number, since it uses more digits than its factorization.

10012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3934 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 10012160 is about 3164.1997408508. The cubic root of 10012160 is about 215.5307600502.

Adding to 10012160 its reverse (6121001), we get a palindrome (16133161).

It can be divided in two parts, 1001 and 2160, that multiplied together give a triangular number (2162160 = T₂₀₇₉).

The spelling of 10012160 in words is "ten million, twelve thousand, one hundred sixty".