107448768 has 294 divisors, whose sum is σ = 379786896. Its totient is φ = 30046464.

The previous prime is 107448767. The next prime is 107448791. The reversal of 107448768 is 867844701.

107448768 is a `hidden beast` number, since 107 + 4 + 487 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (294).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107448763) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2286121 + ... + 2286167.

Almost surely, 2^107448768 is an apocalyptic number.

107448768 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 107448768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189893448).

107448768 is an abundant number, since it is smaller than the sum of its proper divisors (272338128).

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

107448768 is an frugal number, since it uses more digits than its factorization.

107448768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

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

The square root of 107448768 is about 10365.7497558064. The cubic root of 107448768 is about 475.4087237351.

The spelling of 107448768 in words is "one hundred seven million, four hundred forty-eight thousand, seven hundred sixty-eight".