105536661210 has 64 divisors (see below), whose sum is σ = 281465084160. Its totient is φ = 28139711040.

The previous prime is 105536661161. The next prime is 105536661211. The reversal of 105536661210 is 12166635501.

It is a super-2 number, since 2×105536661210² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105536661211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2873724 + ... + 2910216.

It is an arithmetic number, because the mean of its divisors is an integer number (4397891940).

Almost surely, 2^105536661210 is an apocalyptic number.

105536661210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105536661210 is an abundant number, since it is smaller than the sum of its proper divisors (175928422950).

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

105536661210 is a wasteful number, since it uses less digits than its factorization.

105536661210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47220 (or 47214 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 105536661210 in words is "one hundred five billion, five hundred thirty-six million, six hundred sixty-one thousand, two hundred ten".