10281216 has 72 divisors (see below), whose sum is σ = 29875104. Its totient is φ = 3112960.

The previous prime is 10281179. The next prime is 10281221. The reversal of 10281216 is 61218201.

It is a junction number, because it is equal to n+sod(n) for n = 10281192 and 10281201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7840 + ... + 9056.

It is an arithmetic number, because the mean of its divisors is an integer number (414932).

Almost surely, 2^10281216 is an apocalyptic number.

10281216 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 10281216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14937552).

10281216 is an abundant number, since it is smaller than the sum of its proper divisors (19593888).

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

10281216 is a wasteful number, since it uses less digits than its factorization.

10281216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 10281216 is about 3206.4335327588. The cubic root of 10281216 is about 217.4443667990. Note that the first 3 decimals are identical.

Adding to 10281216 its reverse (61218201), we get a palindrome (71499417).

It can be divided in two parts, 102 and 81216, that added together give a palindrome (81318).

The spelling of 10281216 in words is "ten million, two hundred eighty-one thousand, two hundred sixteen".