105505211210064 has 40 divisors (see below), whose sum is σ = 272578948881312. Its totient is φ = 35165330198400.

The previous prime is 105505211210057. The next prime is 105505211210071. The reversal of 105505211210064 is 460012112505501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105505211210057) and next prime (105505211210071).

It is a super-2 number, since 2×105505211210064² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 95493087 + ... + 96591614.

Almost surely, 2^{105505211210064} is an apocalyptic number.

It is an amenable number.

105505211210064 is an abundant number, since it is smaller than the sum of its proper divisors (167073737671248).

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

105505211210064 is a wasteful number, since it uses less digits than its factorization.

105505211210064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192096155 (or 192096149 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

Adding to 105505211210064 its reverse (460012112505501), we get a palindrome (565517323715565).

The spelling of 105505211210064 in words is "one hundred five trillion, five hundred five billion, two hundred eleven million, two hundred ten thousand, sixty-four".