105323013602316 has 72 divisors (see below), whose sum is σ = 271958244352704. Its totient is φ = 34353049386240.

The previous prime is 105323013602311. The next prime is 105323013602381. The reversal of 105323013602316 is 613206310323501.

105323013602316 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 2 + 3 + 0 + 13 + 602 + 31 + 6 = 666.

105323013602316 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 2×105323013602316² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105323013602311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 674976 + ... + 14529336.

It is an arithmetic number, because the mean of its divisors is an integer number (3777197838232).

Almost surely, 2^{105323013602316} is an apocalyptic number.

It is an amenable number.

105323013602316 is an abundant number, since it is smaller than the sum of its proper divisors (166635230750388).

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

105323013602316 is a wasteful number, since it uses less digits than its factorization.

105323013602316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13858911 (or 13858906 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 105323013602316 its reverse (613206310323501), we get a palindrome (718529323925817).

The spelling of 105323013602316 in words is "one hundred five trillion, three hundred twenty-three billion, thirteen million, six hundred two thousand, three hundred sixteen".