104430816 has 192 divisors, whose sum is σ = 359976960. Its totient is φ = 28823040.

The previous prime is 104430793. The next prime is 104430857. The reversal of 104430816 is 618034401.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104430816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187210 + ... + 187766.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^104430816 is an apocalyptic number.

104430816 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 104430816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

104430816 is an abundant number, since it is smaller than the sum of its proper divisors (255546144).

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

104430816 is a wasteful number, since it uses less digits than its factorization.

104430816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104430816 is about 10219.1396898173. The cubic root of 104430816 is about 470.9153971942.

The spelling of 104430816 in words is "one hundred four million, four hundred thirty thousand, eight hundred sixteen".