104347296 has 72 divisors (see below), whose sum is σ = 304009524. Its totient is φ = 33930240.

The previous prime is 104347277. The next prime is 104347319. The reversal of 104347296 is 692743401.

It can be written as a sum of positive squares in 2 ways, for example, as 103306896 + 1040400 = 10164^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 104347296.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7390 + ... + 16226.

Almost surely, 2^104347296 is an apocalyptic number.

104347296 is a gapful number since it is divisible by the number (16) 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 104347296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152004762).

104347296 is an abundant number, since it is smaller than the sum of its proper divisors (199662228).

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

104347296 is a wasteful number, since it uses less digits than its factorization.

104347296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8894 (or 8883 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 104347296 is about 10215.0524227730. The cubic root of 104347296 is about 470.7898233286.

The spelling of 104347296 in words is "one hundred four million, three hundred forty-seven thousand, two hundred ninety-six".