106706712 has 96 divisors (see below), whose sum is σ = 320440320. Its totient is φ = 29494080.

The previous prime is 106706707. The next prime is 106706737. The reversal of 106706712 is 217607601.

It is a happy number.

It is a super-2 number, since 2×106706712² = 22772644771701888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106706712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34993 + ... + 37919.

It is an arithmetic number, because the mean of its divisors is an integer number (3337920).

Almost surely, 2^106706712 is an apocalyptic number.

106706712 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 106706712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160220160).

106706712 is an abundant number, since it is smaller than the sum of its proper divisors (213733608).

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

106706712 is a wasteful number, since it uses less digits than its factorization.

106706712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 106706712 is about 10329.8940943264. The cubic root of 106706712 is about 474.3117819141.

The spelling of 106706712 in words is "one hundred six million, seven hundred six thousand, seven hundred twelve".