104822592 has 112 divisors (see below), whose sum is σ = 330842112. Its totient is φ = 28638720.

The previous prime is 104822587. The next prime is 104822593. The reversal of 104822592 is 295228401.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) 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 (104822593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29217 + ... + 32607.

Almost surely, 2^104822592 is an apocalyptic number.

104822592 is a gapful number since it is divisible by the number (12) 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 104822592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165421056).

104822592 is an abundant number, since it is smaller than the sum of its proper divisors (226019520).

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

104822592 is a wasteful number, since it uses less digits than its factorization.

104822592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 104822592 is about 10238.2904823022. The cubic root of 104822592 is about 471.5035477235.

The spelling of 104822592 in words is "one hundred four million, eight hundred twenty-two thousand, five hundred ninety-two".