104414544 has 180 divisors, whose sum is σ = 336026236. Its totient is φ = 30081024.

The previous prime is 104414477. The next prime is 104414551. The reversal of 104414544 is 445414401.

104414544 is a `hidden beast` number, since 104 + 4 + 14 + 544 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 129600 + 104284944 = 360^2 + 10212^2 .

It is a super-3 number, since 3×104414544³ (a number of 25 digits) contains 333 as substring.

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 35 ways as a sum of consecutive naturals, for example, 540912 + ... + 541104.

Almost surely, 2^104414544 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 104414544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168013118).

104414544 is an abundant number, since it is smaller than the sum of its proper divisors (231611692).

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

104414544 is a wasteful number, since it uses less digits than its factorization.

104414544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 104414544 is about 10218.3435056764. The cubic root of 104414544 is about 470.8909371939.

Adding to 104414544 its reverse (445414401), we get a palindrome (549828945).

The spelling of 104414544 in words is "one hundred four million, four hundred fourteen thousand, five hundred forty-four".