104768144 has 40 divisors (see below), whose sum is σ = 231469560. Its totient is φ = 45508608.

The previous prime is 104768143. The next prime is 104768149. The reversal of 104768144 is 441867401.

It can be written as a sum of positive squares in 4 ways, for example, as 31494544 + 73273600 = 5612^2 + 8560^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104768143) 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, 11279 + ... + 18350.

It is an arithmetic number, because the mean of its divisors is an integer number (5786739).

Almost surely, 2^104768144 is an apocalyptic number.

It is an amenable number.

104768144 is an abundant number, since it is smaller than the sum of its proper divisors (126701416).

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

104768144 is a wasteful number, since it uses less digits than its factorization.

104768144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29667 (or 29661 counting only the distinct ones).

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

The square root of 104768144 is about 10235.6310992532. The cubic root of 104768144 is about 471.4218958869.

The spelling of 104768144 in words is "one hundred four million, seven hundred sixty-eight thousand, one hundred forty-four".