104418000 has 120 divisors (see below), whose sum is σ = 364760136. Its totient is φ = 27840000.

The previous prime is 104417987. The next prime is 104418011. The reversal of 104418000 is 814401.

It can be written as a sum of positive squares in 4 ways, for example, as 1354896 + 103063104 = 1164^2 + 10152^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15100 + ... + 20900.

Almost surely, 2^104418000 is an apocalyptic number.

104418000 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 104418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182380068).

104418000 is an abundant number, since it is smaller than the sum of its proper divisors (260342136).

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

104418000 is a wasteful number, since it uses less digits than its factorization.

104418000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830 (or 5811 counting only the distinct ones).

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

The square root of 104418000 is about 10218.5126119216. The cubic root of 104418000 is about 470.8961324507.

It can be divided in two parts, 1044 and 18000, that added together give a square (19044 = 138²).

The spelling of 104418000 in words is "one hundred four million, four hundred eighteen thousand".