104160672 has 324 divisors, whose sum is σ = 384948018. Its totient is φ = 26611200.

The previous prime is 104160643. The next prime is 104160691. The reversal of 104160672 is 276061401.

104160672 is a `hidden beast` number, since 10 + 41 + 606 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103306896 + 853776 = 10164^2 + 924^2 .

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 53 ways as a sum of consecutive naturals, for example, 1707522 + ... + 1707582.

Almost surely, 2^104160672 is an apocalyptic number.

104160672 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 104160672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192474009).

104160672 is an abundant number, since it is smaller than the sum of its proper divisors (280787346).

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

104160672 is a wasteful number, since it uses less digits than its factorization.

104160672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 104160672 is about 10205.9135798810. The cubic root of 104160672 is about 470.5089883517.

The spelling of 104160672 in words is "one hundred four million, one hundred sixty thousand, six hundred seventy-two".