104759424 has 192 divisors, whose sum is σ = 376159680. Its totient is φ = 27187200.

The previous prime is 104759419. The next prime is 104759437. The reversal of 104759424 is 424957401.

It is a happy number.

104759424 is a `hidden beast` number, since 1 + 0 + 47 + 594 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88114 + ... + 89294.

It is an arithmetic number, because the mean of its divisors is an integer number (1959165).

Almost surely, 2^104759424 is an apocalyptic number.

104759424 is a gapful number since it is divisible by the number (14) 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 104759424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188079840).

104759424 is an abundant number, since it is smaller than the sum of its proper divisors (271400256).

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

104759424 is a wasteful number, since it uses less digits than its factorization.

104759424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 104759424 is about 10235.2051274022. The cubic root of 104759424 is about 471.4088164882.

It can be divided in two parts, 104 and 759424, that added together give a triangular number (759528 = T₁₂₃₂).

The spelling of 104759424 in words is "one hundred four million, seven hundred fifty-nine thousand, four hundred twenty-four".