104756960 has 144 divisors (see below), whose sum is σ = 311296608. Its totient is φ = 32609280.

The previous prime is 104756921. The next prime is 104756963. The reversal of 104756960 is 69657401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104756963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135134 + ... + 135906.

It is an arithmetic number, because the mean of its divisors is an integer number (2161782).

Almost surely, 2^104756960 is an apocalyptic number.

104756960 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 104756960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155648304).

104756960 is an abundant number, since it is smaller than the sum of its proper divisors (206539648).

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

104756960 is a wasteful number, since it uses less digits than its factorization.

104756960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 104756960 is about 10235.0847578318. The cubic root of 104756960 is about 471.4051205266.

The spelling of 104756960 in words is "one hundred four million, seven hundred fifty-six thousand, nine hundred sixty".