42736104 has 96 divisors (see below), whose sum is σ = 122653440. Its totient is φ = 13420800.

The previous prime is 42736103. The next prime is 42736117. The reversal of 42736104 is 40163724.

42736104 is a `hidden beast` number, since 42 + 7 + 3 + 610 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42736103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 91279 + ... + 91745.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 2^42736104 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 42736104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61326720).

42736104 is an abundant number, since it is smaller than the sum of its proper divisors (79917336).

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

42736104 is a wasteful number, since it uses less digits than its factorization.

42736104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 42736104 is about 6537.2856752631. The cubic root of 42736104 is about 349.6216428362.

Adding to 42736104 its reverse (40163724), we get a palindrome (82899828).

The spelling of 42736104 in words is "forty-two million, seven hundred thirty-six thousand, one hundred four".