106716646048 has 24 divisors (see below), whose sum is σ = 219233111328. Its totient is φ = 51038395584.

The previous prime is 106716646031. The next prime is 106716646061. The reversal of 106716646048 is 840646617601.

It is a happy number.

It is a super-2 number, since 2×106716646048² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106716645992 and 106716646010.

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 3 ways as a sum of consecutive naturals, for example, 72496986 + ... + 72498457.

It is an arithmetic number, because the mean of its divisors is an integer number (9134712972).

Almost surely, 2^106716646048 is an apocalyptic number.

It is an amenable number.

106716646048 is an abundant number, since it is smaller than the sum of its proper divisors (112516465280).

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

106716646048 is a wasteful number, since it uses less digits than its factorization.

106716646048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144995476 (or 144995468 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 106716646048 in words is "one hundred six billion, seven hundred sixteen million, six hundred forty-six thousand, forty-eight".