105848555664 has 80 divisors (see below), whose sum is σ = 278032829760. Its totient is φ = 34690951680.

The previous prime is 105848555641. The next prime is 105848555669. The reversal of 105848555664 is 466555848501.

It is a super-2 number, since 2×105848555664² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105848555669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9917659 + ... + 9928325.

It is an arithmetic number, because the mean of its divisors is an integer number (3475410372).

Almost surely, 2^105848555664 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 105848555664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139016414880).

105848555664 is an abundant number, since it is smaller than the sum of its proper divisors (172184274096).

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

105848555664 is a wasteful number, since it uses less digits than its factorization.

105848555664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14128 (or 14122 counting only the distinct ones).

The product of its (nonzero) digits is 23040000, while the sum is 57.

The spelling of 105848555664 in words is "one hundred five billion, eight hundred forty-eight million, five hundred fifty-five thousand, six hundred sixty-four".