10506201732 has 36 divisors (see below), whose sum is σ = 28600217100. Its totient is φ = 3232677312.

The previous prime is 10506201649. The next prime is 10506201767. The reversal of 10506201732 is 23710260501.

It is a happy number.

10506201732 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 620 + 1 + 7 + 32 = 666.

10506201732 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 2 ways, for example, as 700449156 + 9805752576 = 26466^2 + 99024^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10506201732² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10506201696 and 10506201705.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 11224107 + ... + 11225042.

It is an arithmetic number, because the mean of its divisors is an integer number (794450475).

Almost surely, 2^10506201732 is an apocalyptic number.

10506201732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10506201732 is an abundant number, since it is smaller than the sum of its proper divisors (18094015368).

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

10506201732 is a wasteful number, since it uses less digits than its factorization.

10506201732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22449172 (or 22449167 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10506201732 in words is "ten billion, five hundred six million, two hundred one thousand, seven hundred thirty-two".