104161680 has 240 divisors, whose sum is σ = 415032960. Its totient is φ = 23521536.

The previous prime is 104161679. The next prime is 104161691. The reversal of 104161680 is 86161401.

104161680 is a `hidden beast` number, since 1 + 0 + 41 + 616 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 1254919 + ... + 1255001.

It is an arithmetic number, because the mean of its divisors is an integer number (1729304).

Almost surely, 2^104161680 is an apocalyptic number.

104161680 is a gapful number since it is divisible by the number (10) 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 104161680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207516480).

104161680 is an abundant number, since it is smaller than the sum of its proper divisors (310871280).

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

104161680 is an equidigital number, since it uses as much as digits as its factorization.

104161680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 104161680 is about 10205.9629628958. The cubic root of 104161680 is about 470.5105061079.

The spelling of 104161680 in words is "one hundred four million, one hundred sixty-one thousand, six hundred eighty".