104124384 has 288 divisors, whose sum is σ = 379753920. Its totient is φ = 26320896.

The previous prime is 104124373. The next prime is 104124403. The reversal of 104124384 is 483421401.

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

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, 759964 + ... + 760100.

It is an arithmetic number, because the mean of its divisors is an integer number (1318590).

Almost surely, 2^104124384 is an apocalyptic number.

104124384 is a gapful number since it is divisible by the number (14) 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 104124384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189876960).

104124384 is an abundant number, since it is smaller than the sum of its proper divisors (275629536).

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

104124384 is a wasteful number, since it uses less digits than its factorization.

104124384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 104124384 is about 10204.1356321836. The cubic root of 104124384 is about 470.4543426043.

Adding to 104124384 its reverse (483421401), we get a palindrome (587545785).

It can be divided in two parts, 1041 and 24384, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 104124384 in words is "one hundred four million, one hundred twenty-four thousand, three hundred eighty-four".