104018688 has 144 divisors (see below), whose sum is σ = 312732000. Its totient is φ = 34099200.

The previous prime is 104018687. The next prime is 104018689. The reversal of 104018688 is 886810401.

It is an interprime number because it is at equal distance from previous prime (104018687) and next prime (104018689).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (104018683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 698038 + ... + 698186.

It is an arithmetic number, because the mean of its divisors is an integer number (2171750).

Almost surely, 2^104018688 is an apocalyptic number.

104018688 is a gapful number since it is divisible by the number (18) 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 104018688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156366000).

104018688 is an abundant number, since it is smaller than the sum of its proper divisors (208713312).

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

104018688 is a wasteful number, since it uses less digits than its factorization.

104018688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 104018688 is about 10198.9552406117. The cubic root of 104018688 is about 470.2951036409.

The spelling of 104018688 in words is "one hundred four million, eighteen thousand, six hundred eighty-eight".