108045040924800 has 2304 divisors, whose sum is σ = 476226098150400. Its totient is φ = 23828152320000.

The previous prime is 108045040924789. The next prime is 108045040924801. The reversal of 108045040924800 is 8429040540801.

108045040924800 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 45 + 0 + 40 + 92 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (108045040924801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52627880574 + ... + 52627882626.

It is an arithmetic number, because the mean of its divisors is an integer number (206695355100).

Almost surely, 2^{108045040924800} is an apocalyptic number.

108045040924800 is a gapful number since it is divisible by the number (10) 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 108045040924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238113049075200).

108045040924800 is an abundant number, since it is smaller than the sum of its proper divisors (368181057225600).

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

108045040924800 is a wasteful number, since it uses less digits than its factorization.

108045040924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 108045040924800 in words is "one hundred eight trillion, forty-five billion, forty million, nine hundred twenty-four thousand, eight hundred".