105376114310756 has 24 divisors (see below), whose sum is σ = 192139528728000. Its totient is φ = 50505247535904.

The previous prime is 105376114310749. The next prime is 105376114310767. The reversal of 105376114310756 is 657013411673501.

It is a super-2 number, since 2×105376114310756² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3267662936 + ... + 3267695183.

It is an arithmetic number, because the mean of its divisors is an integer number (8005813697000).

Almost surely, 2^{105376114310756} is an apocalyptic number.

It is an amenable number.

105376114310756 is a deficient number, since it is larger than the sum of its proper divisors (86763414417244).

105376114310756 is a wasteful number, since it uses less digits than its factorization.

105376114310756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6535358291 (or 6535358289 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 50.

The spelling of 105376114310756 in words is "one hundred five trillion, three hundred seventy-six billion, one hundred fourteen million, three hundred ten thousand, seven hundred fifty-six".