105352312313264 has 40 divisors (see below), whose sum is σ = 213005509795680. Its totient is φ = 50383376828928.

The previous prime is 105352312313249. The next prime is 105352312313329. The reversal of 105352312313264 is 462313213253501.

It is a super-2 number, since 2×105352312313264² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267374 + ... + 14518130.

It is an arithmetic number, because the mean of its divisors is an integer number (5325137744892).

Almost surely, 2^{105352312313264} is an apocalyptic number.

It is an amenable number.

105352312313264 is an abundant number, since it is smaller than the sum of its proper divisors (107653197482416).

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

105352312313264 is a wasteful number, since it uses less digits than its factorization.

105352312313264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14270877 (or 14270871 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 41.

Adding to 105352312313264 its reverse (462313213253501), we get a palindrome (567665525566765).

The spelling of 105352312313264 in words is "one hundred five trillion, three hundred fifty-two billion, three hundred twelve million, three hundred thirteen thousand, two hundred sixty-four".