105535200064 has 28 divisors (see below), whose sum is σ = 239338758304. Its totient is φ = 45229371264.

The previous prime is 105535200059. The next prime is 105535200073. The reversal of 105535200064 is 460002535501.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×105535200064² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105535199999 and 105535200035.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117784374 + ... + 117785269.

Almost surely, 2^105535200064 is an apocalyptic number.

105535200064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105535200064 is an abundant number, since it is smaller than the sum of its proper divisors (133803558240).

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

105535200064 is an equidigital number, since it uses as much as digits as its factorization.

105535200064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235569662 (or 235569652 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 105535200064 its reverse (460002535501), we get a palindrome (565537735565).

The spelling of 105535200064 in words is "one hundred five billion, five hundred thirty-five million, two hundred thousand, sixty-four".