106716428112 has 120 divisors (see below), whose sum is σ = 322818629952. Its totient is φ = 30288384000.

The previous prime is 106716428111. The next prime is 106716428141. The reversal of 106716428112 is 211824617601.

It is a super-2 number, since 2×106716428112² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106716428111) 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 23 ways as a sum of consecutive naturals, for example, 204912 + ... + 505392.

Almost surely, 2^106716428112 is an apocalyptic number.

106716428112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106716428112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161409314976).

106716428112 is an abundant number, since it is smaller than the sum of its proper divisors (216102201840).

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

106716428112 is a wasteful number, since it uses less digits than its factorization.

106716428112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300657 (or 300644 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 106716428112 in words is "one hundred six billion, seven hundred sixteen million, four hundred twenty-eight thousand, one hundred twelve".