105450508800 has 1440 divisors, whose sum is σ = 485893900800. Its totient is φ = 22202449920.

The previous prime is 105450508769. The next prime is 105450508811. The reversal of 105450508800 is 8805054501.

105450508800 is a `hidden beast` number, since 105 + 45 + 0 + 508 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×105450508800² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 220146961 + ... + 220147439.

It is an arithmetic number, because the mean of its divisors is an integer number (337426320).

Almost surely, 2^105450508800 is an apocalyptic number.

105450508800 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 105450508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242946950400).

105450508800 is an abundant number, since it is smaller than the sum of its proper divisors (380443392000).

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

105450508800 is a wasteful number, since it uses less digits than its factorization.

105450508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 105450508800 in words is "one hundred five billion, four hundred fifty million, five hundred eight thousand, eight hundred".