320105142450 has 144 divisors (see below), whose sum is σ = 864858875400. Its totient is φ = 84881664000.

The previous prime is 320105142421. The next prime is 320105142499. The reversal of 320105142450 is 54241501023.

320105142450 is a `hidden beast` number, since 3 + 201 + 0 + 5 + 1 + 4 + 2 + 450 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 11083667841 + 309021474609 = 105279^2 + 555897^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114281050 + ... + 114283850.

Almost surely, 2^320105142450 is an apocalyptic number.

320105142450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 320105142450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432429437700).

320105142450 is an abundant number, since it is smaller than the sum of its proper divisors (544753732950).

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

320105142450 is a wasteful number, since it uses less digits than its factorization.

320105142450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 320105142450 its reverse (54241501023), we get a palindrome (374346643473).

It can be divided in two parts, 32010514 and 2450, that added together give a square (32012964 = 5658²).

The spelling of 320105142450 in words is "three hundred twenty billion, one hundred five million, one hundred forty-two thousand, four hundred fifty".