105321213024 has 96 divisors (see below), whose sum is σ = 296020539360. Its totient is φ = 32670646272.

The previous prime is 105321212999. The next prime is 105321213103. The reversal of 105321213024 is 420312123501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105321213024² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 105321212985 and 105321213003.

It is a congruent number.

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, 217309 + ... + 507804.

It is an arithmetic number, because the mean of its divisors is an integer number (3083547285).

Almost surely, 2^105321213024 is an apocalyptic number.

It is an amenable number.

105321213024 is an abundant number, since it is smaller than the sum of its proper divisors (190699326336).

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

105321213024 is a wasteful number, since it uses less digits than its factorization.

105321213024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725232 (or 725224 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 105321213024 its reverse (420312123501), we get a palindrome (525633336525).

The spelling of 105321213024 in words is "one hundred five billion, three hundred twenty-one million, two hundred thirteen thousand, twenty-four".