104000 has 56 divisors (see below), whose sum is σ = 277368. Its totient is φ = 38400.

The previous prime is 103997. The next prime is 104003. The reversal of 104000 is 401.

It is an interprime number because it is at equal distance from previous prime (103997) and next prime (104003).

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 87616 = 128^2 + 296^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7994 + ... + 8006.

It is an arithmetic number, because the mean of its divisors is an integer number (4953).

2¹⁰⁴⁰⁰⁰ is an apocalyptic number.

104000 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 104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138684).

104000 is an abundant number, since it is smaller than the sum of its proper divisors (173368).

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

104000 is an equidigital number, since it uses as much as digits as its factorization.

104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 104000 is about 322.4903099319. The cubic root of 104000 is about 47.0266937544.

Adding to 104000 its reverse (401), we get a palindrome (104401).

It can be divided in two parts, 10 and 4000, that multiplied together give a square (40000 = 200²).

The spelling of 104000 in words is "one hundred four thousand", and thus it is an iban number.