4500105984 has 360 divisors, whose sum is σ = 14854279440. Its totient is φ = 1343692800.

The previous prime is 4500105983. The next prime is 4500105991. The reversal of 4500105984 is 4895010054.

4500105984 is a `hidden beast` number, since 4 + 50 + 0 + 10 + 598 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4500105983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24862374 + ... + 24862554.

Almost surely, 2^4500105984 is an apocalyptic number.

4500105984 is a gapful number since it is divisible by the number (44) 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 4500105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7427139720).

4500105984 is an abundant number, since it is smaller than the sum of its proper divisors (10354173456).

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

4500105984 is a wasteful number, since it uses less digits than its factorization.

4500105984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 4500105984 is about 67082.8292784376. The cubic root of 4500105984 is about 1650.9765855107.

The spelling of 4500105984 in words is "four billion, five hundred million, one hundred five thousand, nine hundred eighty-four".