105365536060 has 48 divisors (see below), whose sum is σ = 229588998912. Its totient is φ = 40575283200.

The previous prime is 105365535991. The next prime is 105365536079. The reversal of 105365536060 is 60635563501.

It is a super-2 number, since 2×105365536060² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320611 + ... + 559930.

It is an arithmetic number, because the mean of its divisors is an integer number (4783104144).

Almost surely, 2^105365536060 is an apocalyptic number.

105365536060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105365536060 is an abundant number, since it is smaller than the sum of its proper divisors (124223462852).

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

105365536060 is a wasteful number, since it uses less digits than its factorization.

105365536060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880774 (or 880772 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 40.

The spelling of 105365536060 in words is "one hundred five billion, three hundred sixty-five million, five hundred thirty-six thousand, sixty".