45096 has 16 divisors (see below), whose sum is σ = 112800. Its totient is φ = 15024.

The previous prime is 45083. The next prime is 45119. The reversal of 45096 is 69054.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1879 = 45096 / (4 + 5 + 0 + 9 + 6).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 916 + ... + 963.

It is an arithmetic number, because the mean of its divisors is an integer number (7050).

2⁴⁵⁰⁹⁶ is an apocalyptic number.

It is an amenable number.

45096 is an abundant number, since it is smaller than the sum of its proper divisors (67704).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56400).

45096 is a wasteful number, since it uses less digits than its factorization.

45096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 45096 is about 212.3581879749. The cubic root of 45096 is about 35.5942085432.

The spelling of 45096 in words is "forty-five thousand, ninety-six".