10506665360 has 20 divisors (see below), whose sum is σ = 24427997148. Its totient is φ = 4202666112.

The previous prime is 10506665347. The next prime is 10506665369. The reversal of 10506665360 is 6356660501.

It can be written as a sum of positive squares in 2 ways, for example, as 1892598016 + 8614067344 = 43504^2 + 92812^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10506665360² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10506665369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65666579 + ... + 65666738.

Almost surely, 2^10506665360 is an apocalyptic number.

10506665360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506665360 is an abundant number, since it is smaller than the sum of its proper divisors (13921331788).

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

10506665360 is a wasteful number, since it uses less digits than its factorization.

10506665360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131333330 (or 131333324 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The spelling of 10506665360 in words is "ten billion, five hundred six million, six hundred sixty-five thousand, three hundred sixty".