104580736 has 64 divisors (see below), whose sum is σ = 237633480. Its totient is φ = 45416448.

The previous prime is 104580703. The next prime is 104580737. The reversal of 104580736 is 637085401.

It can be written as a sum of positive squares in 4 ways, for example, as 63107136 + 41473600 = 7944^2 + 6440^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (104580737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26440 + ... + 30136.

Almost surely, 2^104580736 is an apocalyptic number.

104580736 is a gapful number since it is divisible by the number (16) 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 104580736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118816740).

104580736 is an abundant number, since it is smaller than the sum of its proper divisors (133052744).

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

104580736 is a wasteful number, since it uses less digits than its factorization.

104580736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 104580736 is about 10226.4723145374. The cubic root of 104580736 is about 471.1406368373.

The spelling of 104580736 in words is "one hundred four million, five hundred eighty thousand, seven hundred thirty-six".