104014000 has 80 divisors (see below), whose sum is σ = 254064096. Its totient is φ = 41184000.

The previous prime is 104013989. The next prime is 104014051. The reversal of 104014000 is 410401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×104014000⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261802 + ... + 262198.

Almost surely, 2^104014000 is an apocalyptic number.

104014000 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 104014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127032048).

104014000 is an abundant number, since it is smaller than the sum of its proper divisors (150050096).

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

104014000 is a wasteful number, since it uses less digits than its factorization.

104014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 104014000 is about 10198.7254105599. The cubic root of 104014000 is about 470.2880383189.

Adding to 104014000 its reverse (410401), we get a palindrome (104424401).

The spelling of 104014000 in words is "one hundred four million, fourteen thousand".