105665315968 has 64 divisors (see below), whose sum is σ = 214055543520. Its totient is φ = 51947642880.

The previous prime is 105665315953. The next prime is 105665316007. The reversal of 105665315968 is 869513566501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105665315968² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2218096 + ... + 2265232.

Almost surely, 2^105665315968 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 105665315968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107027771760).

105665315968 is an abundant number, since it is smaller than the sum of its proper divisors (108390227552).

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

105665315968 is an equidigital number, since it uses as much as digits as its factorization.

105665315968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47445 (or 47433 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 55.

The spelling of 105665315968 in words is "one hundred five billion, six hundred sixty-five million, three hundred fifteen thousand, nine hundred sixty-eight".