105163506464 has 48 divisors (see below), whose sum is σ = 216255977280. Its totient is φ = 50245873920.

The previous prime is 105163506443. The next prime is 105163506527. The reversal of 105163506464 is 464605361501.

It is a super-2 number, since 2×105163506464² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 679874 + ... + 820094.

It is an arithmetic number, because the mean of its divisors is an integer number (4505332860).

Almost surely, 2^105163506464 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 105163506464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108127988640).

105163506464 is an abundant number, since it is smaller than the sum of its proper divisors (111092470816).

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

105163506464 is a wasteful number, since it uses less digits than its factorization.

105163506464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141273 (or 141265 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

Adding to 105163506464 its reverse (464605361501), we get a palindrome (569768867965).

The spelling of 105163506464 in words is "one hundred five billion, one hundred sixty-three million, five hundred six thousand, four hundred sixty-four".