10506551106321 has 6 divisors (see below), whose sum is σ = 15176129375810. Its totient is φ = 7004367404208.

The previous prime is 10506551106319. The next prime is 10506551106383. The reversal of 10506551106321 is 12360115560501.

10506551106321 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 6 + 5 + 5 + 1 + 10 + 632 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10321672605696 + 184878500625 = 3212736^2 + 429975^2 .

It is not a de Polignac number, because 10506551106321 - 2¹ = 10506551106319 is a prime.

It is a super-2 number, since 2×10506551106321² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10506551106421) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 583697283676 + ... + 583697283693.

Almost surely, 2^{10506551106321} is an apocalyptic number.

It is an amenable number.

10506551106321 is a deficient number, since it is larger than the sum of its proper divisors (4669578269489).

10506551106321 is a wasteful number, since it uses less digits than its factorization.

10506551106321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167394567375 (or 1167394567372 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

Adding to 10506551106321 its reverse (12360115560501), we get a palindrome (22866666666822).

The spelling of 10506551106321 in words is "ten trillion, five hundred six billion, five hundred fifty-one million, one hundred six thousand, three hundred twenty-one".