104160096 has 72 divisors (see below), whose sum is σ = 297277344. Its totient is φ = 34594560.

The previous prime is 104160059. The next prime is 104160127. The reversal of 104160096 is 690061401.

104160096 is a `hidden beast` number, since 10 + 41 + 600 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 113881 + ... + 114791.

It is an arithmetic number, because the mean of its divisors is an integer number (4128852).

Almost surely, 2^104160096 is an apocalyptic number.

104160096 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 104160096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148638672).

104160096 is an abundant number, since it is smaller than the sum of its proper divisors (193117248).

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

104160096 is a wasteful number, since it uses less digits than its factorization.

104160096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 104160096 is about 10205.8853609082. The cubic root of 104160096 is about 470.5081210580.

The spelling of 104160096 in words is "one hundred four million, one hundred sixty thousand, ninety-six".