106909680 has 80 divisors (see below), whose sum is σ = 332728704. Its totient is φ = 28396800.

The previous prime is 106909679. The next prime is 106909697. The reversal of 106909680 is 86909601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106909680² = 22859359355404800, 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72955 + ... + 74405.

Almost surely, 2^106909680 is an apocalyptic number.

106909680 is a gapful number since it is divisible by the number (10) 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 106909680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166364352).

106909680 is an abundant number, since it is smaller than the sum of its proper divisors (225819024).

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

106909680 is a wasteful number, since it uses less digits than its factorization.

106909680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 106909680 is about 10339.7137291126. The cubic root of 106909680 is about 474.6123226441.

The spelling of 106909680 in words is "one hundred six million, nine hundred nine thousand, six hundred eighty".