104048640 has 144 divisors (see below), whose sum is σ = 360933300. Its totient is φ = 27721728.

The previous prime is 104048639. The next prime is 104048641. The reversal of 104048640 is 46840401.

104048640 is a `hidden beast` number, since 10 + 4 + 0 + 4 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (104048639) and next prime (104048641).

It can be written as a sum of positive squares in 2 ways, for example, as 94012416 + 10036224 = 9696^2 + 3168^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×104048640² = 21652238971699200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104048641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91596 + ... + 92724.

Almost surely, 2^104048640 is an apocalyptic number.

104048640 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 104048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180466650).

104048640 is an abundant number, since it is smaller than the sum of its proper divisors (256884660).

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

104048640 is a wasteful number, since it uses less digits than its factorization.

104048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1139 counting only the distinct ones).

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

The square root of 104048640 is about 10200.4235206191. The cubic root of 104048640 is about 470.3402395275.

It can be divided in two parts, 10404 and 8640, that added together give a square (19044 = 138²).

The spelling of 104048640 in words is "one hundred four million, forty-eight thousand, six hundred forty".