10503216 has 80 divisors (see below), whose sum is σ = 30935520. Its totient is φ = 3409920.

The previous prime is 10503211. The next prime is 10503217. The reversal of 10503216 is 61230501.

10503216 = 486² + 487² + ... + 526².

It is a super-2 number, since 2×10503216² = 220635092685312, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10503211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17416 + ... + 18008.

It is an arithmetic number, because the mean of its divisors is an integer number (386694).

Almost surely, 2^10503216 is an apocalyptic number.

10503216 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 10503216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467760).

10503216 is an abundant number, since it is smaller than the sum of its proper divisors (20432304).

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

10503216 is a wasteful number, since it uses less digits than its factorization.

10503216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 639 counting only the distinct ones).

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

The square root of 10503216 is about 3240.8665507855. The cubic root of 10503216 is about 218.9983111148.

Adding to 10503216 its reverse (61230501), we get a palindrome (71733717).

The spelling of 10503216 in words is "ten million, five hundred three thousand, two hundred sixteen".