106366656331 has 24 divisors (see below), whose sum is σ = 118061756064. Its totient is φ = 95729437440.

The previous prime is 106366656239. The next prime is 106366656343. The reversal of 106366656331 is 133656663601.

It is not a de Polignac number, because 106366656331 - 2¹⁹ = 106366132043 is a prime.

It is a super-2 number, since 2×106366656331² (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 (106366656371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13833370 + ... + 13841056.

It is an arithmetic number, because the mean of its divisors is an integer number (4919239836).

Almost surely, 2^106366656331 is an apocalyptic number.

106366656331 is a deficient number, since it is larger than the sum of its proper divisors (11695099733).

106366656331 is a wasteful number, since it uses less digits than its factorization.

106366656331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9751 (or 9738 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 46.

The spelling of 106366656331 in words is "one hundred six billion, three hundred sixty-six million, six hundred fifty-six thousand, three hundred thirty-one".