10016160 has 192 divisors, whose sum is σ = 39481344. Its totient is φ = 2073600.

The previous prime is 10016137. The next prime is 10016189. The reversal of 10016160 is 6161001.

It is a super-2 number, since 2×10016160² = 200646922291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36825 + ... + 37095.

It is an arithmetic number, because the mean of its divisors is an integer number (205632).

Almost surely, 2^10016160 is an apocalyptic number.

10016160 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 10016160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19740672).

10016160 is an abundant number, since it is smaller than the sum of its proper divisors (29465184).

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

10016160 is a wasteful number, since it uses less digits than its factorization.

10016160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 10016160 is about 3164.8317490824. The cubic root of 10016160 is about 215.5594587611.

Adding to 10016160 its reverse (6161001), we get a palindrome (16177161).

The spelling of 10016160 in words is "ten million, sixteen thousand, one hundred sixty".