100431 has 6 divisors (see below), whose sum is σ = 145080. Its totient is φ = 66948.

The previous prime is 100417. The next prime is 100447. The reversal of 100431 is 134001.

It is not a de Polignac number, because 100431 - 2¹⁴ = 84047 is a prime.

It is a super-2 number, since 2×100431² = 20172771522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11159 = 100431 / (1 + 0 + 0 + 4 + 3 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5571 + ... + 5588.

It is an arithmetic number, because the mean of its divisors is an integer number (24180).

2¹⁰⁰⁴³¹ is an apocalyptic number.

100431 is a deficient number, since it is larger than the sum of its proper divisors (44649).

100431 is a wasteful number, since it uses less digits than its factorization.

100431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11165 (or 11162 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100431 is about 316.9085041459. The cubic root of 100431 is about 46.4824769215.

Adding to 100431 its reverse (134001), we get a palindrome (234432).

It can be divided in two parts, 1004 and 31, that added together give a triangular number (1035 = T₄₅).

The spelling of 100431 in words is "one hundred thousand, four hundred thirty-one".