105464308064 has 24 divisors (see below), whose sum is σ = 218560902840. Its totient is φ = 49956777216.

The previous prime is 105464308051. The next prime is 105464308069. The reversal of 105464308064 is 460803464501.

It is a happy number.

It is a super-2 number, since 2×105464308064² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105464308069) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86729909 + ... + 86731124.

It is an arithmetic number, because the mean of its divisors is an integer number (9106704285).

Almost surely, 2^105464308064 is an apocalyptic number.

It is an amenable number.

105464308064 is an abundant number, since it is smaller than the sum of its proper divisors (113096594776).

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

105464308064 is a wasteful number, since it uses less digits than its factorization.

105464308064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173461062 (or 173461054 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 105464308064 in words is "one hundred five billion, four hundred sixty-four million, three hundred eight thousand, sixty-four".