104051424 has 96 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 32274432.

The previous prime is 104051419. The next prime is 104051461. The reversal of 104051424 is 424150401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 104051424.

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 15 ways as a sum of consecutive naturals, for example, 167787 + ... + 168405.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^104051424 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 104051424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

104051424 is an abundant number, since it is smaller than the sum of its proper divisors (188429856).

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

104051424 is a wasteful number, since it uses less digits than its factorization.

104051424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 104051424 is about 10200.5599846283. The cubic root of 104051424 is about 470.3444344103.

The spelling of 104051424 in words is "one hundred four million, fifty-one thousand, four hundred twenty-four".