104129280 has 288 divisors, whose sum is σ = 388523520. Its totient is φ = 26357760.

The previous prime is 104129261. The next prime is 104129281. The reversal of 104129280 is 82921401.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104129281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794815 + ... + 794945.

It is an arithmetic number, because the mean of its divisors is an integer number (1349040).

Almost surely, 2^104129280 is an apocalyptic number.

104129280 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 104129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194261760).

104129280 is an abundant number, since it is smaller than the sum of its proper divisors (284394240).

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

104129280 is a wasteful number, since it uses less digits than its factorization.

104129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 104129280 is about 10204.3755320941. The cubic root of 104129280 is about 470.4617161841.

The spelling of 104129280 in words is "one hundred four million, one hundred twenty-nine thousand, two hundred eighty".