107430432 has 48 divisors (see below), whose sum is σ = 283735872. Its totient is φ = 35590400.

The previous prime is 107430431. The next prime is 107430437. The reversal of 107430432 is 234034701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107430431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12682 + ... + 19382.

It is an arithmetic number, because the mean of its divisors is an integer number (5911164).

Almost surely, 2^107430432 is an apocalyptic number.

107430432 is a gapful number since it is divisible by the number (12) 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 107430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141867936).

107430432 is an abundant number, since it is smaller than the sum of its proper divisors (176305440).

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

107430432 is a wasteful number, since it uses less digits than its factorization.

107430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6881 (or 6873 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 107430432 is about 10364.8652668522. The cubic root of 107430432 is about 475.3816795589.

The spelling of 107430432 in words is "one hundred seven million, four hundred thirty thousand, four hundred thirty-two".