107304120 has 384 divisors, whose sum is σ = 449280000. Its totient is φ = 22014720.

The previous prime is 107304097. The next prime is 107304121. The reversal of 107304120 is 21403701.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 107304093 and 107304102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107304121) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1358241 + ... + 1358319.

It is an arithmetic number, because the mean of its divisors is an integer number (1170000).

Almost surely, 2^107304120 is an apocalyptic number.

107304120 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 107304120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224640000).

107304120 is an abundant number, since it is smaller than the sum of its proper divisors (341975880).

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

107304120 is a wasteful number, since it uses less digits than its factorization.

107304120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 107304120 is about 10358.7701972773. The cubic root of 107304120 is about 475.1952955015.

Adding to 107304120 its reverse (21403701), we get a palindrome (128707821).

The spelling of 107304120 in words is "one hundred seven million, three hundred four thousand, one hundred twenty".