107487648 has 144 divisors (see below), whose sum is σ = 331321536. Its totient is φ = 34214400.

The previous prime is 107487647. The next prime is 107487707. The reversal of 107487648 is 846784701.

107487648 is a `hidden beast` number, since 107 + 487 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (107487641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178548 + ... + 179148.

It is an arithmetic number, because the mean of its divisors is an integer number (2300844).

Almost surely, 2^107487648 is an apocalyptic number.

107487648 is a gapful number since it is divisible by the number (18) 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 107487648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165660768).

107487648 is an abundant number, since it is smaller than the sum of its proper divisors (223833888).

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

107487648 is an equidigital number, since it uses as much as digits as its factorization.

107487648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 107487648 is about 10367.6249932181. The cubic root of 107487648 is about 475.4660585392.

The spelling of 107487648 in words is "one hundred seven million, four hundred eighty-seven thousand, six hundred forty-eight".