105510567000064 has 48 divisors (see below), whose sum is σ = 212062722777360. Its totient is φ = 52481939865600.

The previous prime is 105510567000061. The next prime is 105510567000107. The reversal of 105510567000064 is 460000765015501.

It is a super-2 number, since 2×105510567000064² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105510566999990 and 105510567000026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105510567000061) 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, 133073212 + ... + 133863739.

It is an arithmetic number, because the mean of its divisors is an integer number (4417973391195).

Almost surely, 2^{105510567000064} is an apocalyptic number.

It is an amenable number.

105510567000064 is an abundant number, since it is smaller than the sum of its proper divisors (106552155777296).

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

105510567000064 is an equidigital number, since it uses as much as digits as its factorization.

105510567000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266937166 (or 266937146 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 105510567000064 in words is "one hundred five trillion, five hundred ten billion, five hundred sixty-seven million, sixty-four", and thus it is an aban number.