105720895968 has 96 divisors (see below), whose sum is σ = 280744128000. Its totient is φ = 34831503360.

The previous prime is 105720895933. The next prime is 105720895979. The reversal of 105720895968 is 869598027501.

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

It is a super-2 number, since 2×105720895968² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7545033 + ... + 7559031.

It is an arithmetic number, because the mean of its divisors is an integer number (2924418000).

Almost surely, 2^105720895968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105720895968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140372064000).

105720895968 is an abundant number, since it is smaller than the sum of its proper divisors (175023232032).

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

105720895968 is a wasteful number, since it uses less digits than its factorization.

105720895968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14920 (or 14912 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 60.

The spelling of 105720895968 in words is "one hundred five billion, seven hundred twenty million, eight hundred ninety-five thousand, nine hundred sixty-eight".