10413216 has 144 divisors (see below), whose sum is σ = 34201440. Its totient is φ = 2972160.

The previous prime is 10413211. The next prime is 10413251. The reversal of 10413216 is 61231401.

10413216 = T₄₅ + T₄₆ + ... + T₃₉₆.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×10413216³ (a number of 22 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10413211) 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 23 ways as a sum of consecutive naturals, for example, 60106 + ... + 60278.

It is an arithmetic number, because the mean of its divisors is an integer number (237510).

Almost surely, 2^10413216 is an apocalyptic number.

10413216 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 10413216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100720).

10413216 is an abundant number, since it is smaller than the sum of its proper divisors (23788224).

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

10413216 is a wasteful number, since it uses less digits than its factorization.

10413216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10413216 is about 3226.9515025795. The cubic root of 10413216 is about 218.3709980408.

Adding to 10413216 its reverse (61231401), we get a palindrome (71644617).

The spelling of 10413216 in words is "ten million, four hundred thirteen thousand, two hundred sixteen".