105320113024 has 64 divisors (see below), whose sum is σ = 239866790400. Its totient is φ = 45122987520.

The previous prime is 105320112967. The next prime is 105320113033. The reversal of 105320113024 is 420311023501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105320113024² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105320112986 and 105320113004.

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 7 ways as a sum of consecutive naturals, for example, 3129117 + ... + 3162595.

It is an arithmetic number, because the mean of its divisors is an integer number (3747918600).

Almost surely, 2^105320113024 is an apocalyptic number.

105320113024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105320113024 is an abundant number, since it is smaller than the sum of its proper divisors (134546677376).

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

105320113024 is an equidigital number, since it uses as much as digits as its factorization.

105320113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37011 (or 36999 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 105320113024 its reverse (420311023501), we get a palindrome (525631136525).

The spelling of 105320113024 in words is "one hundred five billion, three hundred twenty million, one hundred thirteen thousand, twenty-four".