106185391321 has 3 divisors (see below), whose sum is σ = 106185717183. Its totient is φ = 106185065460.

The previous prime is 106185391309. The next prime is 106185391327. The reversal of 106185391321 is 123193581601.

The square root of 106185391321 is 325861.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 123193581601 = 601 ⋅204981001.

It can be written as a sum of positive squares in only one way, i.e., 104936475721 + 1248915600 = 323939^2 + 35340^2 .

It is not a de Polignac number, because 106185391321 - 2¹⁷ = 106185260249 is a prime.

It is a super-2 number, since 2×106185391321² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106185391327) 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 2 ways as a sum of consecutive naturals, for example, 162931 + ... + 488791.

It is an arithmetic number, because the mean of its divisors is an integer number (35395239061).

Almost surely, 2^106185391321 is an apocalyptic number.

106185391321 is the 325861-st square number.

106185391321 is the 162931-st centered octagonal number.

It is an amenable number.

106185391321 is a deficient number, since it is larger than the sum of its proper divisors (325862).

106185391321 is an frugal number, since it uses more digits than its factorization.

106185391321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651722 (or 325861 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 106185391321 in words is "one hundred six billion, one hundred eighty-five million, three hundred ninety-one thousand, three hundred twenty-one".