107400384 has 224 divisors, whose sum is σ = 389168640. Its totient is φ = 28283904.

The previous prime is 107400383. The next prime is 107400389. The reversal of 107400384 is 483004701.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (107400383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156907 + ... + 157589.

It is an arithmetic number, because the mean of its divisors is an integer number (1737360).

Almost surely, 2^107400384 is an apocalyptic number.

107400384 is a gapful number since it is divisible by the number (14) 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 107400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194584320).

107400384 is an abundant number, since it is smaller than the sum of its proper divisors (281768256).

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

107400384 is a wasteful number, since it uses less digits than its factorization.

107400384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 107400384 is about 10363.4156531522. The cubic root of 107400384 is about 475.3373544379.

The spelling of 107400384 in words is "one hundred seven million, four hundred thousand, three hundred eighty-four".