104805792 has 384 divisors, whose sum is σ = 397393920. Its totient is φ = 26127360.

The previous prime is 104805791. The next prime is 104805853. The reversal of 104805792 is 297508401.

104805792 is a `hidden beast` number, since 1 + 0 + 4 + 80 + 579 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104805791) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2437323 + ... + 2437365.

It is an arithmetic number, because the mean of its divisors is an integer number (1034880).

Almost surely, 2^104805792 is an apocalyptic number.

104805792 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 104805792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198696960).

104805792 is an abundant number, since it is smaller than the sum of its proper divisors (292588128).

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

104805792 is a wasteful number, since it uses less digits than its factorization.

104805792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 104805792 is about 10237.4699999560. The cubic root of 104805792 is about 471.4783569618.

The spelling of 104805792 in words is "one hundred four million, eight hundred five thousand, seven hundred ninety-two".