105536066510 has 64 divisors (see below), whose sum is σ = 221581923840. Its totient is φ = 35441712000.

The previous prime is 105536066509. The next prime is 105536066527. The reversal of 105536066510 is 15660635501.

It is a super-2 number, since 2×105536066510² (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 31 ways as a sum of consecutive naturals, for example, 1097885 + ... + 1190135.

It is an arithmetic number, because the mean of its divisors is an integer number (3462217560).

Almost surely, 2^105536066510 is an apocalyptic number.

105536066510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105536066510 is an abundant number, since it is smaller than the sum of its proper divisors (116045857330).

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

105536066510 is a wasteful number, since it uses less digits than its factorization.

105536066510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92601.

The product of its (nonzero) digits is 81000, while the sum is 38.

The spelling of 105536066510 in words is "one hundred five billion, five hundred thirty-six million, sixty-six thousand, five hundred ten".