107520480 has 96 divisors (see below), whose sum is σ = 376336800. Its totient is φ = 28670976.

The previous prime is 107520421. The next prime is 107520503. The reversal of 107520480 is 84025701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8125 + ... + 16764.

It is an arithmetic number, because the mean of its divisors is an integer number (3920175).

Almost surely, 2^107520480 is an apocalyptic number.

107520480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107520480 is an abundant number, since it is smaller than the sum of its proper divisors (268816320).

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

107520480 is a wasteful number, since it uses less digits than its factorization.

107520480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24913 (or 24899 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 107520480 is about 10369.2082629292. The cubic root of 107520480 is about 475.5144638298.

The spelling of 107520480 in words is "one hundred seven million, five hundred twenty thousand, four hundred eighty".