100432320 has 112 divisors (see below), whose sum is σ = 320954400. Its totient is φ = 26607616.

The previous prime is 100432303. The next prime is 100432333. The reversal of 100432320 is 23234001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100432320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223456 + ... + 223904.

Almost surely, 2^100432320 is an apocalyptic number.

100432320 is a gapful number since it is divisible by the number (10) 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 100432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160477200).

100432320 is an abundant number, since it is smaller than the sum of its proper divisors (220522080).

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

100432320 is a wasteful number, since it uses less digits than its factorization.

100432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 100432320 is about 10021.5926877917. The cubic root of 100432320 is about 464.8268056583.

Adding to 100432320 its reverse (23234001), we get a palindrome (123666321).

The spelling of 100432320 in words is "one hundred million, four hundred thirty-two thousand, three hundred twenty".