106742882305 has 32 divisors (see below), whose sum is σ = 138396729600. Its totient is φ = 78861388032.

The previous prime is 106742882293. The next prime is 106742882357. The reversal of 106742882305 is 503288247601.

It is not a de Polignac number, because 106742882305 - 2⁷ = 106742882177 is a prime.

It is a super-2 number, since 2×106742882305² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147924 + ... + 485146.

It is an arithmetic number, because the mean of its divisors is an integer number (4324897800).

Almost surely, 2^106742882305 is an apocalyptic number.

It is an amenable number.

106742882305 is a deficient number, since it is larger than the sum of its proper divisors (31653847295).

106742882305 is a wasteful number, since it uses less digits than its factorization.

106742882305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337353.

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 106742882305 in words is "one hundred six billion, seven hundred forty-two million, eight hundred eighty-two thousand, three hundred five".