107322432 has 112 divisors (see below), whose sum is σ = 331622400. Its totient is φ = 29993472.

The previous prime is 107322427. The next prime is 107322433. The reversal of 107322432 is 234223701.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (107322433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62319 + ... + 64017.

Almost surely, 2^107322432 is an apocalyptic number.

107322432 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 107322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165811200).

107322432 is an abundant number, since it is smaller than the sum of its proper divisors (224299968).

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

107322432 is a wasteful number, since it uses less digits than its factorization.

107322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1758 counting only the distinct ones).

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

The square root of 107322432 is about 10359.6540482779. The cubic root of 107322432 is about 475.2223254711. Note that the first 3 decimals are identical.

The spelling of 107322432 in words is "one hundred seven million, three hundred twenty-two thousand, four hundred thirty-two".