105691650091680 has 96 divisors (see below), whose sum is σ = 334382535244800. Its totient is φ = 28061363837952.

The previous prime is 105691650091553. The next prime is 105691650091691. The reversal of 105691650091680 is 86190056196501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105691650091680² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105691650091680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480656320 + ... + 480876159.

It is an arithmetic number, because the mean of its divisors is an integer number (3483151408800).

Almost surely, 2^{105691650091680} is an apocalyptic number.

105691650091680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105691650091680 is an abundant number, since it is smaller than the sum of its proper divisors (228690885153120).

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

105691650091680 is a wasteful number, since it uses less digits than its factorization.

105691650091680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961532726 (or 961532718 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 57.

The spelling of 105691650091680 in words is "one hundred five trillion, six hundred ninety-one billion, six hundred fifty million, ninety-one thousand, six hundred eighty".