45108000 has 288 divisors, whose sum is σ = 183980160. Its totient is φ = 10252800.

The previous prime is 45107999. The next prime is 45108001. The reversal of 45108000 is 80154.

It is an interprime number because it is at equal distance from previous prime (45107999) and next prime (45108001).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (45108001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251911 + ... + 252089.

It is an arithmetic number, because the mean of its divisors is an integer number (638820).

Almost surely, 2^45108000 is an apocalyptic number.

45108000 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 45108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990080).

45108000 is an abundant number, since it is smaller than the sum of its proper divisors (138872160).

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

45108000 is a wasteful number, since it uses less digits than its factorization.

45108000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 45108000 is about 6716.2489530987. The cubic root of 45108000 is about 355.9736545752.

Adding to 45108000 its reverse (80154), we get a palindrome (45188154).

The spelling of 45108000 in words is "forty-five million, one hundred eight thousand".