10442016 has 72 divisors (see below), whose sum is σ = 31990140. Its totient is φ = 3211776.

The previous prime is 10441999. The next prime is 10442027. The reversal of 10442016 is 61024401.

It can be written as a sum of positive squares in 2 ways, for example, as 10265616 + 176400 = 3204^2 + 420^2 .

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 self number, because there is not a number n which added to its sum of digits gives 10442016.

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 11 ways as a sum of consecutive naturals, for example, 2350 + ... + 5138.

Almost surely, 2^10442016 is an apocalyptic number.

10442016 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 10442016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15995070).

10442016 is an abundant number, since it is smaller than the sum of its proper divisors (21548124).

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

10442016 is a wasteful number, since it uses less digits than its factorization.

10442016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10442016 is about 3231.4108373898. The cubic root of 10442016 is about 218.5721301308.

Adding to 10442016 its reverse (61024401), we get a palindrome (71466417).

The spelling of 10442016 in words is "ten million, four hundred forty-two thousand, sixteen".