104049792 has 512 divisors, whose sum is σ = 423014400. Its totient is φ = 24330240.

The previous prime is 104049779. The next prime is 104049823. The reversal of 104049792 is 297940401.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4523893 + ... + 4523915.

It is an arithmetic number, because the mean of its divisors is an integer number (826200).

Almost surely, 2^104049792 is an apocalyptic number.

104049792 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 104049792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211507200).

104049792 is an abundant number, since it is smaller than the sum of its proper divisors (318964608).

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

104049792 is a wasteful number, since it uses less digits than its factorization.

104049792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 104049792 is about 10200.4799887064. The cubic root of 104049792 is about 470.3419753501.

The spelling of 104049792 in words is "one hundred four million, forty-nine thousand, seven hundred ninety-two".