105010101064 has 64 divisors (see below), whose sum is σ = 226650960000. Its totient is φ = 45143493120.

The previous prime is 105010101061. The next prime is 105010101169. The reversal of 105010101064 is 460101010501.

It is a super-2 number, since 2×105010101064² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105010101061) by changing a digit.

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, 111339 + ... + 471610.

It is an arithmetic number, because the mean of its divisors is an integer number (3541421250).

Almost surely, 2^105010101064 is an apocalyptic number.

It is an amenable number.

105010101064 is an abundant number, since it is smaller than the sum of its proper divisors (121640858936).

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

105010101064 is a wasteful number, since it uses less digits than its factorization.

105010101064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583078 (or 583074 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 105010101064 its reverse (460101010501), we get a palindrome (565111111565).

The spelling of 105010101064 in words is "one hundred five billion, ten million, one hundred one thousand, sixty-four".