104414688 has 180 divisors, whose sum is σ = 348690888. Its totient is φ = 29635200.

The previous prime is 104414677. The next prime is 104414689. The reversal of 104414688 is 886414401.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104414689) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 691413 + ... + 691563.

Almost surely, 2^104414688 is an apocalyptic number.

104414688 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 104414688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174345444).

104414688 is an abundant number, since it is smaller than the sum of its proper divisors (244276200).

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

104414688 is an equidigital number, since it uses as much as digits as its factorization.

104414688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 104414688 is about 10218.3505518259. The cubic root of 104414688 is about 470.8911536652.

It can be divided in two parts, 10441 and 4688, that added together give a square (15129 = 123²).

The spelling of 104414688 in words is "one hundred four million, four hundred fourteen thousand, six hundred eighty-eight".