104229216 has 288 divisors, whose sum is σ = 377552448. Its totient is φ = 26542080.

The previous prime is 104229187. The next prime is 104229241. The reversal of 104229216 is 612922401.

104229216 = 243³ + 244³ + ... + 249³.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104229216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1074480 + ... + 1074576.

It is an arithmetic number, because the mean of its divisors is an integer number (1310946).

Almost surely, 2^104229216 is an apocalyptic number.

104229216 is a gapful number since it is divisible by the number (16) 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 104229216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188776224).

104229216 is an abundant number, since it is smaller than the sum of its proper divisors (273323232).

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

104229216 is a wasteful number, since it uses less digits than its factorization.

104229216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 104229216 is about 10209.2710807383. The cubic root of 104229216 is about 470.6121734784.

The spelling of 104229216 in words is "one hundred four million, two hundred twenty-nine thousand, two hundred sixteen".