104144768 has 64 divisors (see below), whose sum is σ = 255383520. Its totient is φ = 41195520.

The previous prime is 104144767. The next prime is 104144773. The reversal of 104144768 is 867441401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×104144768² = 21692265403547648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104144767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7178 + ... + 16118.

Almost surely, 2^104144768 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 104144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127691760).

104144768 is an abundant number, since it is smaller than the sum of its proper divisors (151238752).

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

104144768 is an equidigital number, since it uses as much as digits as its factorization.

104144768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8975 (or 8963 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 104144768 is about 10205.1343940195. The cubic root of 104144768 is about 470.4850402348.

The spelling of 104144768 in words is "one hundred four million, one hundred forty-four thousand, seven hundred sixty-eight".