104138424 has 192 divisors, whose sum is σ = 325328640. Its totient is φ = 29859840.

The previous prime is 104138399. The next prime is 104138429. The reversal of 104138424 is 424831401.

104138424 is a `hidden beast` number, since 104 + 138 + 424 = 666.

It is a super-2 number, since 2×104138424² = 21689622706407552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104138429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1073544 + ... + 1073640.

It is an arithmetic number, because the mean of its divisors is an integer number (1694420).

Almost surely, 2^104138424 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 104138424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162664320).

104138424 is an abundant number, since it is smaller than the sum of its proper divisors (221190216).

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

104138424 is a wasteful number, since it uses less digits than its factorization.

104138424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 104138424 is about 10204.8235653538. The cubic root of 104138424 is about 470.4754868098.

Adding to 104138424 its reverse (424831401), we get a palindrome (528969825).

The spelling of 104138424 in words is "one hundred four million, one hundred thirty-eight thousand, four hundred twenty-four".