100444431 has 32 divisors (see below), whose sum is σ = 145981440. Its totient is φ = 61223904.

The previous prime is 100444411. The next prime is 100444439. The reversal of 100444431 is 134444001.

It is not a de Polignac number, because 100444431 - 2¹⁰ = 100443407 is a prime.

It is a super-2 number, since 2×100444431² = 20178167437827522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100444398 and 100444407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100444439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262066 + ... + 262448.

It is an arithmetic number, because the mean of its divisors is an integer number (4561920).

Almost surely, 2^100444431 is an apocalyptic number.

100444431 is a deficient number, since it is larger than the sum of its proper divisors (45537009).

100444431 is a wasteful number, since it uses less digits than its factorization.

100444431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 100444431 is about 10022.1969148486. The cubic root of 100444431 is about 464.8454891895.

Adding to 100444431 its reverse (134444001), we get a palindrome (234888432).

The spelling of 100444431 in words is "one hundred million, four hundred forty-four thousand, four hundred thirty-one".