100038432 has 96 divisors (see below), whose sum is σ = 287038080. Its totient is φ = 30320640.

The previous prime is 100038409. The next prime is 100038481. The reversal of 100038432 is 234830001.

It is a happy number.

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 = 100038399 and 100038408.

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, 88044 + ... + 89172.

It is an arithmetic number, because the mean of its divisors is an integer number (2989980).

Almost surely, 2^100038432 is an apocalyptic number.

100038432 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 100038432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143519040).

100038432 is an abundant number, since it is smaller than the sum of its proper divisors (186999648).

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

100038432 is a wasteful number, since it uses less digits than its factorization.

100038432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 100038432 is about 10001.9214154081. The cubic root of 100038432 is about 464.2183375928.

Adding to 100038432 its reverse (234830001), we get a palindrome (334868433).

The spelling of 100038432 in words is "one hundred million, thirty-eight thousand, four hundred thirty-two".