107471520 has 144 divisors (see below), whose sum is σ = 395026632. Its totient is φ = 26449920.

The previous prime is 107471519. The next prime is 107471557. The reversal of 107471520 is 25174701.

107471520 is a `hidden beast` number, since 1 + 0 + 74 + 71 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67174416 + 40297104 = 8196^2 + 6348^2 .

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

It is a super-2 number, since 2×107471520² = 23100255222220800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 15850 + ... + 21590.

Almost surely, 2^107471520 is an apocalyptic number.

107471520 is a gapful number since it is divisible by the number (10) 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 107471520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197513316).

107471520 is an abundant number, since it is smaller than the sum of its proper divisors (287555112).

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

107471520 is a wasteful number, since it uses less digits than its factorization.

107471520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5775 (or 5764 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 107471520 is about 10366.8471581286. The cubic root of 107471520 is about 475.4422768914.

The spelling of 107471520 in words is "one hundred seven million, four hundred seventy-one thousand, five hundred twenty".