105345331424 has 48 divisors (see below), whose sum is σ = 209503109088. Its totient is φ = 52138639872.

The previous prime is 105345331411. The next prime is 105345331513. The reversal of 105345331424 is 424133543501.

105345331424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105345331424² (a number of 23 digits) contains 22 as substring.

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, 9608954 + ... + 9619910.

It is an arithmetic number, because the mean of its divisors is an integer number (4364648106).

Almost surely, 2^105345331424 is an apocalyptic number.

It is an amenable number.

105345331424 is a deficient number, since it is larger than the sum of its proper divisors (104157777664).

105345331424 is a wasteful number, since it uses less digits than its factorization.

105345331424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13987 (or 13979 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 105345331424 its reverse (424133543501), we get a palindrome (529478874925).

The spelling of 105345331424 in words is "one hundred five billion, three hundred forty-five million, three hundred thirty-one thousand, four hundred twenty-four".