106494982848 has 112 divisors (see below), whose sum is σ = 313161944160. Its totient is φ = 35488530432.

The previous prime is 106494982757. The next prime is 106494982963. The reversal of 106494982848 is 848289494601.

106494982848 is a `hidden beast` number, since 1 + 0 + 64 + 9 + 498 + 2 + 84 + 8 = 666.

106494982848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×106494982848³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9036736 + ... + 9048512.

Almost surely, 2^106494982848 is an apocalyptic number.

106494982848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106494982848 is an abundant number, since it is smaller than the sum of its proper divisors (206666961312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106494982848 is a wasteful number, since it uses less digits than its factorization.

106494982848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17031 (or 17015 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 106494982848 in words is "one hundred six billion, four hundred ninety-four million, nine hundred eighty-two thousand, eight hundred forty-eight".