107438880 has 48 divisors (see below), whose sum is σ = 338433984. Its totient is φ = 28650240.

The previous prime is 107438867. The next prime is 107438887. The reversal of 107438880 is 88834701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×107438880² = 23086225871308800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107438887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111436 + ... + 112395.

It is an arithmetic number, because the mean of its divisors is an integer number (7050708).

Almost surely, 2^107438880 is an apocalyptic number.

107438880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107438880 is an abundant number, since it is smaller than the sum of its proper divisors (230995104).

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

107438880 is a wasteful number, since it uses less digits than its factorization.

107438880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223849 (or 223841 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 107438880 is about 10365.2727894639. The cubic root of 107438880 is about 475.3941400852.

The spelling of 107438880 in words is "one hundred seven million, four hundred thirty-eight thousand, eight hundred eighty".