104814144 has 84 divisors (see below), whose sum is σ = 301961296. Its totient is φ = 34760448.

The previous prime is 104814137. The next prime is 104814161. The reversal of 104814144 is 441418401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162687 + ... + 163329.

Almost surely, 2^104814144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150980648).

104814144 is an abundant number, since it is smaller than the sum of its proper divisors (197147152).

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

104814144 is a wasteful number, since it uses less digits than its factorization.

104814144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 104814144 is about 10237.8779051130. The cubic root of 104814144 is about 471.4908807055.

The spelling of 104814144 in words is "one hundred four million, eight hundred fourteen thousand, one hundred forty-four".