106708864 has 128 divisors (see below), whose sum is σ = 247860000. Its totient is φ = 45416448.

The previous prime is 106708859. The next prime is 106708871. The reversal of 106708864 is 468807601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106708864² = 22773563312340992, 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1198932 + ... + 1199020.

Almost surely, 2^106708864 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 106708864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123930000).

106708864 is an abundant number, since it is smaller than the sum of its proper divisors (141151136).

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

106708864 is a wasteful number, since it uses less digits than its factorization.

106708864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 106708864 is about 10329.9982575023. The cubic root of 106708864 is about 474.3149704423.

The spelling of 106708864 in words is "one hundred six million, seven hundred eight thousand, eight hundred sixty-four".