104767488 has 252 divisors, whose sum is σ = 364194090. Its totient is φ = 28901376.

The previous prime is 104767477. The next prime is 104767493. The reversal of 104767488 is 884767401.

104767488 is a `hidden beast` number, since 104 + 7 + 67 + 488 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88510464 + 16257024 = 9408^2 + 4032^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3612658 + ... + 3612686.

Almost surely, 2^104767488 is an apocalyptic number.

104767488 is a gapful number since it is divisible by the number (18) 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 104767488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182097045).

104767488 is an abundant number, since it is smaller than the sum of its proper divisors (259426602).

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

104767488 is an equidigital number, since it uses as much as digits as its factorization.

104767488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 104767488 is about 10235.5990542811. The cubic root of 104767488 is about 471.4209119574.

The spelling of 104767488 in words is "one hundred four million, seven hundred sixty-seven thousand, four hundred eighty-eight".