10071216 has 100 divisors (see below), whose sum is σ = 30758200. Its totient is φ = 3172608.

The previous prime is 10071211. The next prime is 10071223. The reversal of 10071216 is 61217001.

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

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (10071211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24420 + ... + 24828.

It is an arithmetic number, because the mean of its divisors is an integer number (307582).

Almost surely, 2^10071216 is an apocalyptic number.

10071216 is a gapful number since it is divisible by the number (16) 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 10071216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15379100).

10071216 is an abundant number, since it is smaller than the sum of its proper divisors (20686984).

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

10071216 is a wasteful number, since it uses less digits than its factorization.

10071216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 10071216 is about 3173.5179218022. The cubic root of 10071216 is about 215.9536937773.

Adding to 10071216 its reverse (61217001), we get a palindrome (71288217).

The spelling of 10071216 in words is "ten million, seventy-one thousand, two hundred sixteen".