104435136 has 112 divisors (see below), whose sum is σ = 330708000. Its totient is φ = 32126976.

The previous prime is 104435117. The next prime is 104435141. The reversal of 104435136 is 631534401.

104435136 is a `hidden beast` number, since 104 + 43 + 513 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20140 + ... + 24788.

It is an arithmetic number, because the mean of its divisors is an integer number (2952750).

Almost surely, 2^104435136 is an apocalyptic number.

104435136 is a gapful number since it is divisible by the number (16) 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 104435136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165354000).

104435136 is an abundant number, since it is smaller than the sum of its proper divisors (226272864).

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

104435136 is a wasteful number, since it uses less digits than its factorization.

104435136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 104435136 is about 10219.3510557178. The cubic root of 104435136 is about 470.9218905727.

Adding to 104435136 its reverse (631534401), we get a palindrome (735969537).

The spelling of 104435136 in words is "one hundred four million, four hundred thirty-five thousand, one hundred thirty-six".