106509273311 has 12 divisors (see below), whose sum is σ = 123909363360. Its totient is φ = 91285689600.

The previous prime is 106509273281. The next prime is 106509273319. The reversal of 106509273311 is 113372905601.

It is a de Polignac number, because none of the positive numbers 2^k-106509273311 is a prime.

It is a super-3 number, since 3×106509273311³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106509273319) 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 11 ways as a sum of consecutive naturals, for example, 510911 + ... + 688511.

It is an arithmetic number, because the mean of its divisors is an integer number (10325780280).

Almost surely, 2^106509273311 is an apocalyptic number.

106509273311 is a deficient number, since it is larger than the sum of its proper divisors (17400090049).

106509273311 is a wasteful number, since it uses less digits than its factorization.

106509273311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189854 (or 189847 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The spelling of 106509273311 in words is "one hundred six billion, five hundred nine million, two hundred seventy-three thousand, three hundred eleven".