104053680 has 160 divisors (see below), whose sum is σ = 364262400. Its totient is φ = 27295488.

The previous prime is 104053667. The next prime is 104053687. The reversal of 104053680 is 86350401.

104053680 is a `hidden beast` number, since 10 + 40 + 536 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (104053687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144361 + ... + 145079.

It is an arithmetic number, because the mean of its divisors is an integer number (2276640).

Almost surely, 2^104053680 is an apocalyptic number.

104053680 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 104053680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182131200).

104053680 is an abundant number, since it is smaller than the sum of its proper divisors (260208720).

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

104053680 is a wasteful number, since it uses less digits than its factorization.

104053680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 796 counting only the distinct ones).

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

The square root of 104053680 is about 10200.6705661932. The cubic root of 104053680 is about 470.3478336570.

The spelling of 104053680 in words is "one hundred four million, fifty-three thousand, six hundred eighty".