10506443216 has 10 divisors (see below), whose sum is σ = 20356233762. Its totient is φ = 5253221600.

The previous prime is 10506443201. The next prime is 10506443219. The reversal of 10506443216 is 61234460501.

10506443216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6918912400 + 3587530816 = 83180^2 + 59896^2 .

It is a super-2 number, since 2×10506443216² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506443219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328326335 + ... + 328326366.

Almost surely, 2^10506443216 is an apocalyptic number.

10506443216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10506443216 is a deficient number, since it is larger than the sum of its proper divisors (9849790546).

10506443216 is an equidigital number, since it uses as much as digits as its factorization.

10506443216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656652709 (or 656652703 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 10506443216 in words is "ten billion, five hundred six million, four hundred forty-three thousand, two hundred sixteen".