107380480 has 36 divisors (see below), whose sum is σ = 257212872. Its totient is φ = 42951680.

The previous prime is 107380459. The next prime is 107380519. The reversal of 107380480 is 84083701.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 40666 + ... + 43225.

It is an arithmetic number, because the mean of its divisors is an integer number (7144802).

Almost surely, 2^107380480 is an apocalyptic number.

107380480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107380480 is an abundant number, since it is smaller than the sum of its proper divisors (149832392).

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

107380480 is an frugal number, since it uses more digits than its factorization.

107380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83912 (or 83898 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 107380480 is about 10362.4553075031. The cubic root of 107380480 is about 475.3079886236.

The spelling of 107380480 in words is "one hundred seven million, three hundred eighty thousand, four hundred eighty".