107384904 has 96 divisors (see below), whose sum is σ = 325110240. Its totient is φ = 31737600.

The previous prime is 107384887. The next prime is 107384909. The reversal of 107384904 is 409483701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107384909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30819 + ... + 34125.

It is an arithmetic number, because the mean of its divisors is an integer number (3386565).

Almost surely, 2^107384904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107384904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162555120).

107384904 is an abundant number, since it is smaller than the sum of its proper divisors (217725336).

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

107384904 is a wasteful number, since it uses less digits than its factorization.

107384904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 107384904 is about 10362.6687682276. The cubic root of 107384904 is about 475.3145159852.

The spelling of 107384904 in words is "one hundred seven million, three hundred eighty-four thousand, nine hundred four".