107995680 has 240 divisors, whose sum is σ = 411093144. Its totient is φ = 26542080.

The previous prime is 107995669. The next prime is 107995687. The reversal of 107995680 is 86599701.

107995680 is a `hidden beast` number, since 10 + 79 + 9 + 568 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89643024 + 18352656 = 9468^2 + 4284^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (107995687) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 168160 + ... + 168800.

Almost surely, 2^107995680 is an apocalyptic number.

107995680 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 107995680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205546572).

107995680 is an abundant number, since it is smaller than the sum of its proper divisors (303097464).

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

107995680 is a wasteful number, since it uses less digits than its factorization.

107995680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 107995680 is about 10392.0969972379. The cubic root of 107995680 is about 476.2139659016.

The spelling of 107995680 in words is "one hundred seven million, nine hundred ninety-five thousand, six hundred eighty".