104089536 has 196 divisors, whose sum is σ = 326483472. Its totient is φ = 32845824.

The previous prime is 104089507. The next prime is 104089549. The reversal of 104089536 is 635980401.

104089536 is a `hidden beast` number, since 1 + 0 + 40 + 89 + 536 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104089536.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 1073040 + ... + 1073136.

It is an arithmetic number, because the mean of its divisors is an integer number (1665732).

Almost surely, 2^104089536 is an apocalyptic number.

104089536 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 104089536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163241736).

104089536 is an abundant number, since it is smaller than the sum of its proper divisors (222393936).

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

104089536 is an frugal number, since it uses more digits than its factorization.

104089536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 104089536 is about 10202.4279463273. The cubic root of 104089536 is about 470.4018533871.

The spelling of 104089536 in words is "one hundred four million, eighty-nine thousand, five hundred thirty-six".