10082160 has 240 divisors, whose sum is σ = 39461760. Its totient is φ = 2280960.

The previous prime is 10082129. The next prime is 10082203. The reversal of 10082160 is 6128001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150447 + ... + 150513.

It is an arithmetic number, because the mean of its divisors is an integer number (164424).

Almost surely, 2^10082160 is an apocalyptic number.

10082160 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 10082160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19730880).

10082160 is an abundant number, since it is smaller than the sum of its proper divisors (29379600).

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

10082160 is a wasteful number, since it uses less digits than its factorization.

10082160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10082160 is about 3175.2417230819. The cubic root of 10082160 is about 216.0318882962.

The spelling of 10082160 in words is "ten million, eighty-two thousand, one hundred sixty".