105452330310 has 72 divisors (see below), whose sum is σ = 277984609344. Its totient is φ = 27735281280.

The previous prime is 105452330273. The next prime is 105452330311. The reversal of 105452330310 is 13033254501.

105452330310 is a `hidden beast` number, since 10 + 5 + 4 + 5 + 2 + 330 + 310 = 666.

It is a super-2 number, since 2×105452330310² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105452330311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 369675 + ... + 589545.

It is an arithmetic number, because the mean of its divisors is an integer number (3860897352).

Almost surely, 2^105452330310 is an apocalyptic number.

105452330310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105452330310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138992304672).

105452330310 is an abundant number, since it is smaller than the sum of its proper divisors (172532279034).

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

105452330310 is a wasteful number, since it uses less digits than its factorization.

105452330310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220030 (or 219954 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 105452330310 its reverse (13033254501), we get a palindrome (118485584811).

The spelling of 105452330310 in words is "one hundred five billion, four hundred fifty-two million, three hundred thirty thousand, three hundred ten".