104407968 has 96 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 29664000.

The previous prime is 104407967. The next prime is 104407973. The reversal of 104407968 is 869704401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (104407967) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 168363 + ... + 168981.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 2^104407968 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 104407968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

104407968 is an abundant number, since it is smaller than the sum of its proper divisors (210571872).

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

104407968 is a wasteful number, since it uses less digits than its factorization.

104407968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 104407968 is about 10218.0217263421. The cubic root of 104407968 is about 470.8810514580.

The spelling of 104407968 in words is "one hundred four million, four hundred seven thousand, nine hundred sixty-eight".