45104000 has 64 divisors (see below), whose sum is σ = 112179600. Its totient is φ = 18035200.

The previous prime is 45103991. The next prime is 45104027. The reversal of 45104000 is 40154.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14591 + ... + 17409.

Almost surely, 2^45104000 is an apocalyptic number.

45104000 is a gapful number since it is divisible by the number (40) 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 45104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56089800).

45104000 is an abundant number, since it is smaller than the sum of its proper divisors (67075600).

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

45104000 is an equidigital number, since it uses as much as digits as its factorization.

45104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 45104000 is about 6715.9511612280. The cubic root of 45104000 is about 355.9631321497.

Adding to 45104000 its reverse (40154), we get a palindrome (45144154).

The spelling of 45104000 in words is "forty-five million, one hundred four thousand".