105332454304000 has 288 divisors, whose sum is σ = 327143459365632. Its totient is φ = 32830894080000.

The previous prime is 105332454303991. The next prime is 105332454304001. The reversal of 105332454304000 is 403454233501.

It is a happy number.

It is a super-2 number, since 2×105332454304000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105332454304001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18910281 + ... + 23838280.

It is an arithmetic number, because the mean of its divisors is an integer number (1135914789464).

Almost surely, 2^{105332454304000} is an apocalyptic number.

105332454304000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105332454304000 is an abundant number, since it is smaller than the sum of its proper divisors (221811005061632).

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

105332454304000 is an equidigital number, since it uses as much as digits as its factorization.

105332454304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42748610 (or 42748586 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

The spelling of 105332454304000 in words is "one hundred five trillion, three hundred thirty-two billion, four hundred fifty-four million, three hundred four thousand".