105535200060 has 36 divisors (see below), whose sum is σ = 320123440728. Its totient is φ = 28142719968.

The previous prime is 105535200059. The next prime is 105535200073. The reversal of 105535200060 is 60002535501.

105535200060 is a `hidden beast` number, since 1 + 0 + 553 + 52 + 0 + 0 + 0 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105535200060² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105535199997 and 105535200033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293153154 + ... + 293153513.

It is an arithmetic number, because the mean of its divisors is an integer number (8892317798).

Almost surely, 2^105535200060 is an apocalyptic number.

105535200060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105535200060 is an abundant number, since it is smaller than the sum of its proper divisors (214588240668).

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

105535200060 is a wasteful number, since it uses less digits than its factorization.

105535200060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586306682 (or 586306677 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 105535200060 its reverse (60002535501), we get a palindrome (165537735561).

The spelling of 105535200060 in words is "one hundred five billion, five hundred thirty-five million, two hundred thousand, sixty".