100038431 has 8 divisors (see below), whose sum is σ = 104527584. Its totient is φ = 95560960.

The previous prime is 100038409. The next prime is 100038481. The reversal of 100038431 is 134830001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100038431 - 2¹⁰ = 100037407 is a prime.

It is a super-2 number, since 2×100038431² = 20015375353883522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100038481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17795 + ... + 22731.

It is an arithmetic number, because the mean of its divisors is an integer number (13065948).

Almost surely, 2^100038431 is an apocalyptic number.

100038431 is a deficient number, since it is larger than the sum of its proper divisors (4489153).

100038431 is an equidigital number, since it uses as much as digits as its factorization.

100038431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 100038431 is about 10001.9213654177. The cubic root of 100038431 is about 464.2183360460.

Adding to 100038431 its reverse (134830001), we get a palindrome (234868432).

The spelling of 100038431 in words is "one hundred million, thirty-eight thousand, four hundred thirty-one".