107538432 has 96 divisors (see below), whose sum is σ = 299557440. Its totient is φ = 34242560.

The previous prime is 107538407. The next prime is 107538443. The reversal of 107538432 is 234835701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 107538393 and 107538402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140932 + ... + 141692.

It is an arithmetic number, because the mean of its divisors is an integer number (3120390).

Almost surely, 2^107538432 is an apocalyptic number.

107538432 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 107538432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

107538432 is an abundant number, since it is smaller than the sum of its proper divisors (192019008).

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

107538432 is an equidigital number, since it uses as much as digits as its factorization.

107538432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 107538432 is about 10370.0738666607. The cubic root of 107538432 is about 475.5409268831.

The spelling of 107538432 in words is "one hundred seven million, five hundred thirty-eight thousand, four hundred thirty-two".