106706688 has 144 divisors (see below), whose sum is σ = 328478976. Its totient is φ = 30392320.

The previous prime is 106706617. The next prime is 106706701. The reversal of 106706688 is 886607601.

It is a super-2 number, since 2×106706688² = 22772634527858688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143245 + ... + 143987.

It is an arithmetic number, because the mean of its divisors is an integer number (2281104).

Almost surely, 2^106706688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106706688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164239488).

106706688 is an abundant number, since it is smaller than the sum of its proper divisors (221772288).

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

106706688 is a wasteful number, since it uses less digits than its factorization.

106706688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 106706688 is about 10329.8929326494. The cubic root of 106706688 is about 474.3117463540.

The spelling of 106706688 in words is "one hundred six million, seven hundred six thousand, six hundred eighty-eight".