107705520 has 240 divisors, whose sum is σ = 401349312. Its totient is φ = 25712640.

The previous prime is 107705513. The next prime is 107705539. The reversal of 107705520 is 25507701.

107705520 is a `hidden beast` number, since 107 + 7 + 0 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346165 + ... + 346475.

Almost surely, 2^107705520 is an apocalyptic number.

107705520 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 107705520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200674656).

107705520 is an abundant number, since it is smaller than the sum of its proper divisors (293643792).

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

107705520 is a wasteful number, since it uses less digits than its factorization.

107705520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 107705520 is about 10378.1269986448. The cubic root of 107705520 is about 475.7870902443.

It can be divided in two parts, 10770 and 5520, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 107705520 in words is "one hundred seven million, seven hundred five thousand, five hundred twenty".