104689872 has 180 divisors, whose sum is σ = 350904996. Its totient is φ = 29030400.

The previous prime is 104689853. The next prime is 104689889. The reversal of 104689872 is 278986401.

It can be written as a sum of positive squares in 2 ways, for example, as 99920016 + 4769856 = 9996^2 + 2184^2 .

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 35 ways as a sum of consecutive naturals, for example, 260872 + ... + 261272.

Almost surely, 2^104689872 is an apocalyptic number.

104689872 is a gapful number since it is divisible by the number (12) 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 104689872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175452498).

104689872 is an abundant number, since it is smaller than the sum of its proper divisors (246215124).

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

104689872 is a wasteful number, since it uses less digits than its factorization.

104689872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 104689872 is about 10231.8068785528. The cubic root of 104689872 is about 471.3044672930.

The spelling of 104689872 in words is "one hundred four million, six hundred eighty-nine thousand, eight hundred seventy-two".