104769168 has 80 divisors (see below), whose sum is σ = 313313280. Its totient is φ = 29547648.

The previous prime is 104769167. The next prime is 104769169. The reversal of 104769168 is 861967401.

It is an interprime number because it is at equal distance from previous prime (104769167) and next prime (104769169).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (104769167) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24571 + ... + 28517.

It is an arithmetic number, because the mean of its divisors is an integer number (3916416).

Almost surely, 2^104769168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104769168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156656640).

104769168 is an abundant number, since it is smaller than the sum of its proper divisors (208544112).

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

104769168 is a wasteful number, since it uses less digits than its factorization.

104769168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 104769168 is about 10235.6811204726. The cubic root of 104769168 is about 471.4234317687.

The spelling of 104769168 in words is "one hundred four million, seven hundred sixty-nine thousand, one hundred sixty-eight".