104727168 has 384 divisors, whose sum is σ = 395041920. Its totient is φ = 26873856.

The previous prime is 104727167. The next prime is 104727173. The reversal of 104727168 is 861727401.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (104727163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2830446 + ... + 2830482.

It is an arithmetic number, because the mean of its divisors is an integer number (1028755).

Almost surely, 2^104727168 is an apocalyptic number.

104727168 is a gapful number since it is divisible by the number (18) 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 104727168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197520960).

104727168 is an abundant number, since it is smaller than the sum of its proper divisors (290314752).

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

104727168 is an equidigital number, since it uses as much as digits as its factorization.

104727168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 104727168 is about 10233.6292682508. The cubic root of 104727168 is about 471.3604284033.

The spelling of 104727168 in words is "one hundred four million, seven hundred twenty-seven thousand, one hundred sixty-eight".