104582720 has 168 divisors, whose sum is σ = 284984952. Its totient is φ = 36495360.

The previous prime is 104582717. The next prime is 104582761. The reversal of 104582720 is 27285401.

It can be written as a sum of positive squares in 4 ways, for example, as 31719424 + 72863296 = 5632^2 + 8536^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 1432604 + ... + 1432676.

It is an arithmetic number, because the mean of its divisors is an integer number (1696339).

Almost surely, 2^104582720 is an apocalyptic number.

104582720 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 104582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142492476).

104582720 is an abundant number, since it is smaller than the sum of its proper divisors (180402232).

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

104582720 is a wasteful number, since it uses less digits than its factorization.

104582720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 104582720 is about 10226.5693172246. The cubic root of 104582720 is about 471.1436161531.

The spelling of 104582720 in words is "one hundred four million, five hundred eighty-two thousand, seven hundred twenty".