100431144 has 128 divisors (see below), whose sum is σ = 311731200. Its totient is φ = 29695680.

The previous prime is 100431143. The next prime is 100431161. The reversal of 100431144 is 441134001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100431143) 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, 101677 + ... + 102659.

It is an arithmetic number, because the mean of its divisors is an integer number (2435400).

Almost surely, 2^100431144 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 100431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155865600).

100431144 is an abundant number, since it is smaller than the sum of its proper divisors (211300056).

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

100431144 is a wasteful number, since it uses less digits than its factorization.

100431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100431144 is about 10021.5340143114. The cubic root of 100431144 is about 464.8249913736.

Adding to 100431144 its reverse (441134001), we get a palindrome (541565145).

The spelling of 100431144 in words is "one hundred million, four hundred thirty-one thousand, one hundred forty-four".