10053216 has 72 divisors (see below), whose sum is σ = 29071224. Its totient is φ = 3294720.

The previous prime is 10053191. The next prime is 10053217. The reversal of 10053216 is 61235001.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10053217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19036 + ... + 19556.

It is an arithmetic number, because the mean of its divisors is an integer number (403767).

Almost surely, 2^10053216 is an apocalyptic number.

10053216 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 10053216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14535612).

10053216 is an abundant number, since it is smaller than the sum of its proper divisors (19018008).

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

10053216 is a wasteful number, since it uses less digits than its factorization.

10053216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10053216 is about 3170.6806840172. The cubic root of 10053216 is about 215.8249610735.

Adding to 10053216 its reverse (61235001), we get a palindrome (71288217).

The spelling of 10053216 in words is "ten million, fifty-three thousand, two hundred sixteen".