105310324240 has 80 divisors (see below), whose sum is σ = 267600211776. Its totient is φ = 38223705600.

The previous prime is 105310324219. The next prime is 105310324277. The reversal of 105310324240 is 42423013501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105310324240² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 365479 + ... + 586681.

Almost surely, 2^105310324240 is an apocalyptic number.

105310324240 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 105310324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133800105888).

105310324240 is an abundant number, since it is smaller than the sum of its proper divisors (162289887536).

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

105310324240 is a wasteful number, since it uses less digits than its factorization.

105310324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221768 (or 221762 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 105310324240 its reverse (42423013501), we get a palindrome (147733337741).

The spelling of 105310324240 in words is "one hundred five billion, three hundred ten million, three hundred twenty-four thousand, two hundred forty".