105366553113723 has 64 divisors (see below), whose sum is σ = 165326976460800. Its totient is φ = 58998636576000.

The previous prime is 105366553113709. The next prime is 105366553113727. The reversal of 105366553113723 is 327311355663501.

It is a happy number.

It is not a de Polignac number, because 105366553113723 - 2⁶ = 105366553113659 is a prime.

It is a super-2 number, since 2×105366553113723² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105366553113727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64254708 + ... + 65874126.

It is an arithmetic number, because the mean of its divisors is an integer number (2583234007200).

Almost surely, 2^{105366553113723} is an apocalyptic number.

105366553113723 is a deficient number, since it is larger than the sum of its proper divisors (59960423347077).

105366553113723 is a wasteful number, since it uses less digits than its factorization.

105366553113723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622024.

The product of its (nonzero) digits is 5103000, while the sum is 51.

The spelling of 105366553113723 in words is "one hundred five trillion, three hundred sixty-six billion, five hundred fifty-three million, one hundred thirteen thousand, seven hundred twenty-three".