100168432 has 80 divisors (see below), whose sum is σ = 241859520. Its totient is φ = 39131136.

The previous prime is 100168391. The next prime is 100168447. The reversal of 100168432 is 234861001.

It is a junction number, because it is equal to n+sod(n) for n = 100168397 and 100168406.

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, 129198 + ... + 129970.

It is an arithmetic number, because the mean of its divisors is an integer number (3023244).

Almost surely, 2^100168432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100168432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120929760).

100168432 is an abundant number, since it is smaller than the sum of its proper divisors (141691088).

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

100168432 is a wasteful number, since it uses less digits than its factorization.

100168432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 100168432 is about 10008.4180568160. The cubic root of 100168432 is about 464.4193345517.

The spelling of 100168432 in words is "one hundred million, one hundred sixty-eight thousand, four hundred thirty-two".