105340133706324 has 48 divisors (see below), whose sum is σ = 269260440744960. Its totient is φ = 31787690902240.

The previous prime is 105340133706299. The next prime is 105340133706341. The reversal of 105340133706324 is 423607331043501.

105340133706324 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 2×105340133706324² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1669490034 + ... + 1669553129.

It is an arithmetic number, because the mean of its divisors is an integer number (5609592515520).

Almost surely, 2^{105340133706324} is an apocalyptic number.

It is an amenable number.

105340133706324 is an abundant number, since it is smaller than the sum of its proper divisors (163920307038636).

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

105340133706324 is a wasteful number, since it uses less digits than its factorization.

105340133706324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339043420 (or 3339043418 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

Adding to 105340133706324 its reverse (423607331043501), we get a palindrome (528947464749825).

The spelling of 105340133706324 in words is "one hundred five trillion, three hundred forty billion, one hundred thirty-three million, seven hundred six thousand, three hundred twenty-four".