107632089432 has 384 divisors, whose sum is σ = 350420428800. Its totient is φ = 29210886144.

The previous prime is 107632089427. The next prime is 107632089437. The reversal of 107632089432 is 234980236701.

107632089432 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 3 + 208 + 9 + 432 = 666.

107632089432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (107632089427) and next prime (107632089437).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107632089437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115857544 + ... + 115858472.

It is an arithmetic number, because the mean of its divisors is an integer number (912553200).

Almost surely, 2^107632089432 is an apocalyptic number.

107632089432 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 107632089432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175210214400).

107632089432 is an abundant number, since it is smaller than the sum of its proper divisors (242788339368).

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

107632089432 is a wasteful number, since it uses less digits than its factorization.

107632089432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 107632089432 in words is "one hundred seven billion, six hundred thirty-two million, eighty-nine thousand, four hundred thirty-two".