104431120 has 40 divisors (see below), whose sum is σ = 244459800. Its totient is φ = 41487360.

The previous prime is 104431111. The next prime is 104431193. The reversal of 104431120 is 21134401.

It can be written as a sum of positive squares in 4 ways, for example, as 2178576 + 102252544 = 1476^2 + 10112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 104431094 and 104431103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7540 + ... + 16300.

It is an arithmetic number, because the mean of its divisors is an integer number (6111495).

Almost surely, 2^104431120 is an apocalyptic number.

104431120 is a gapful number since it is divisible by the number (10) 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 104431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122229900).

104431120 is an abundant number, since it is smaller than the sum of its proper divisors (140028680).

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

104431120 is a wasteful number, since it uses less digits than its factorization.

104431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8923 (or 8917 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 104431120 is about 10219.1545638570. The cubic root of 104431120 is about 470.9158541415.

Adding to 104431120 its reverse (21134401), we get a palindrome (125565521).

The spelling of 104431120 in words is "one hundred four million, four hundred thirty-one thousand, one hundred twenty".