10002160 has 80 divisors (see below), whose sum is σ = 27158976. Its totient is φ = 3354624.

The previous prime is 10002149. The next prime is 10002191. The reversal of 10002160 is 6120001.

10002160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29512 + ... + 29848.

Almost surely, 2^10002160 is an apocalyptic number.

10002160 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 10002160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13579488).

10002160 is an abundant number, since it is smaller than the sum of its proper divisors (17156816).

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

10002160 is a wasteful number, since it uses less digits than its factorization.

10002160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 10002160 is about 3162.6191677153. The cubic root of 10002160 is about 215.4589798162.

Adding to 10002160 its reverse (6120001), we get a palindrome (16122161).

It can be divided in two parts, 1000 and 2160, that added together give a triangular number (3160 = T₇₉).

The spelling of 10002160 in words is "ten million, two thousand, one hundred sixty".