107381120 has 128 divisors (see below), whose sum is σ = 320198400. Its totient is φ = 33454080.

The previous prime is 107381119. The next prime is 107381123. The reversal of 107381120 is 21183701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107381123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48191 + ... + 50369.

It is an arithmetic number, because the mean of its divisors is an integer number (2501550).

Almost surely, 2^107381120 is an apocalyptic number.

107381120 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 107381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160099200).

107381120 is an abundant number, since it is smaller than the sum of its proper divisors (212817280).

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

107381120 is a wasteful number, since it uses less digits than its factorization.

107381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 107381120 is about 10362.4861881693. The cubic root of 107381120 is about 475.3089329184.

The spelling of 107381120 in words is "one hundred seven million, three hundred eighty-one thousand, one hundred twenty".