104192000 has 192 divisors, whose sum is σ = 291301920. Its totient is φ = 36864000.

The previous prime is 104191987. The next prime is 104192009. The reversal of 104192000 is 291401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 104192000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104192009) 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, 2815982 + ... + 2816018.

Almost surely, 2^104192000 is an apocalyptic number.

104192000 is a gapful number since it is divisible by the number (10) 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 104192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145650960).

104192000 is an abundant number, since it is smaller than the sum of its proper divisors (187109920).

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

104192000 is an equidigital number, since it uses as much as digits as its factorization.

104192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 104192000 is about 10207.4482609514. The cubic root of 104192000 is about 470.5561546758.

The spelling of 104192000 in words is "one hundred four million, one hundred ninety-two thousand".