107381520 has 240 divisors, whose sum is σ = 395546112. Its totient is φ = 25989120.

The previous prime is 107381509. The next prime is 107381557. The reversal of 107381520 is 25183701.

107381520 is a `hidden beast` number, since 107 + 38 + 1 + 520 = 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, 379299 + ... + 379581.

Almost surely, 2^107381520 is an apocalyptic number.

107381520 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 107381520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197773056).

107381520 is an abundant number, since it is smaller than the sum of its proper divisors (288164592).

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

107381520 is a wasteful number, since it uses less digits than its factorization.

107381520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 107381520 is about 10362.5054885390. The cubic root of 107381520 is about 475.3095231008.

The spelling of 107381520 in words is "one hundred seven million, three hundred eighty-one thousand, five hundred twenty".