106882275591 has 48 divisors (see below), whose sum is σ = 190153926144. Its totient is φ = 56335632192.

The previous prime is 106882275589. The next prime is 106882275607. The reversal of 106882275591 is 195572288601.

106882275591 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 82 + 2 + 7 + 559 + 1 = 666.

It is not a de Polignac number, because 106882275591 - 2¹ = 106882275589 is a prime.

It is a super-3 number, since 3×106882275591³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106882275541) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1071840 + ... + 1167306.

It is an arithmetic number, because the mean of its divisors is an integer number (3961540128).

Almost surely, 2^106882275591 is an apocalyptic number.

106882275591 is a deficient number, since it is larger than the sum of its proper divisors (83271650553).

106882275591 is a wasteful number, since it uses less digits than its factorization.

106882275591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96860 (or 96857 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 106882275591 in words is "one hundred six billion, eight hundred eighty-two million, two hundred seventy-five thousand, five hundred ninety-one".