10345216 has 72 divisors (see below), whose sum is σ = 24724224. Its totient is φ = 4224000.

The previous prime is 10345207. The next prime is 10345249. The reversal of 10345216 is 61254301.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 41091 + ... + 41341.

It is an arithmetic number, because the mean of its divisors is an integer number (343392).

Almost surely, 2^10345216 is an apocalyptic number.

10345216 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 10345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362112).

10345216 is an abundant number, since it is smaller than the sum of its proper divisors (14379008).

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

10345216 is an equidigital number, since it uses as much as digits as its factorization.

10345216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 10345216 is about 3216.3979853246. The cubic root of 10345216 is about 217.8946268516.

Adding to 10345216 its reverse (61254301), we get a palindrome (71599517).

The spelling of 10345216 in words is "ten million, three hundred forty-five thousand, two hundred sixteen".