104168792 has 128 divisors (see below), whose sum is σ = 268531200. Its totient is φ = 36661248.

The previous prime is 104168791. The next prime is 104168803. The reversal of 104168792 is 297861401.

It is a super-2 number, since 2×104168792² = 21702274453478528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104168791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234923 + ... + 235365.

It is an arithmetic number, because the mean of its divisors is an integer number (2097900).

Almost surely, 2^104168792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104168792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134265600).

104168792 is an abundant number, since it is smaller than the sum of its proper divisors (164362408).

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

104168792 is a wasteful number, since it uses less digits than its factorization.

104168792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 104168792 is about 10206.3113807095. The cubic root of 104168792 is about 470.5212144431.

The spelling of 104168792 in words is "one hundred four million, one hundred sixty-eight thousand, seven hundred ninety-two".