104112000 has 256 divisors, whose sum is σ = 385070400. Its totient is φ = 27648000.

The previous prime is 104111977. The next prime is 104112023. The reversal of 104112000 is 211401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104111977) and next prime (104112023).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431880 + ... + 432120.

Almost surely, 2^104112000 is an apocalyptic number.

104112000 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 104112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192535200).

104112000 is an abundant number, since it is smaller than the sum of its proper divisors (280958400).

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

104112000 is an equidigital number, since it uses as much as digits as its factorization.

104112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 104112000 is about 10203.5288013510. The cubic root of 104112000 is about 470.4356907530.

Adding to 104112000 its reverse (211401), we get a palindrome (104323401).

It can be divided in two parts, 1041 and 12000, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 104112000 in words is "one hundred four million, one hundred twelve thousand".