104814000 has 200 divisors, whose sum is σ = 379181088. Its totient is φ = 27907200.

The previous prime is 104813981. The next prime is 104814037. The reversal of 104814000 is 418401.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161677 + ... + 162323.

Almost surely, 2^104814000 is an apocalyptic number.

104814000 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 104814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189590544).

104814000 is an abundant number, since it is smaller than the sum of its proper divisors (274367088).

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

104814000 is an equidigital number, since it uses as much as digits as its factorization.

104814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 104814000 is about 10237.8708724031. The cubic root of 104814000 is about 471.4906647845.

The spelling of 104814000 in words is "one hundred four million, eight hundred fourteen thousand".