104459040 has 288 divisors, whose sum is σ = 418594176. Its totient is φ = 23224320.

The previous prime is 104458993. The next prime is 104459041. The reversal of 104459040 is 40954401.

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

It is a junction number, because it is equal to n+sod(n) for n = 104458995 and 104459013.

It is not an unprimeable number, because it can be changed into a prime (104459041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 433320 + ... + 433560.

It is an arithmetic number, because the mean of its divisors is an integer number (1453452).

Almost surely, 2^104459040 is an apocalyptic number.

104459040 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 104459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209297088).

104459040 is an abundant number, since it is smaller than the sum of its proper divisors (314135136).

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

104459040 is a wasteful number, since it uses less digits than its factorization.

104459040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 104459040 is about 10220.5205346890. The cubic root of 104459040 is about 470.9578173644.

The spelling of 104459040 in words is "one hundred four million, four hundred fifty-nine thousand, forty".