104419440 has 240 divisors, whose sum is σ = 391716000. Its totient is φ = 24772608.

The previous prime is 104419417. The next prime is 104419453. The reversal of 104419440 is 44914401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232336 + ... + 232784.

It is an arithmetic number, because the mean of its divisors is an integer number (1632150).

Almost surely, 2^104419440 is an apocalyptic number.

104419440 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 104419440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195858000).

104419440 is an abundant number, since it is smaller than the sum of its proper divisors (287296560).

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

104419440 is a wasteful number, since it uses less digits than its factorization.

104419440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104419440 is about 10218.5830720311. The cubic root of 104419440 is about 470.8982971073.

It can be divided in two parts, 10441 and 9440, that added together give a square (19881 = 141²).

The spelling of 104419440 in words is "one hundred four million, four hundred nineteen thousand, four hundred forty".