105536641 has 8 divisors (see below), whose sum is σ = 123075200. Its totient is φ = 90459684.

The previous prime is 105536603. The next prime is 105536647. The reversal of 105536641 is 146635501.

It is not a de Polignac number, because 105536641 - 2⁹ = 105536129 is a prime.

It is a super-2 number, since 2×105536641² = 22275965187125762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105536647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153501 + ... + 154186.

It is an arithmetic number, because the mean of its divisors is an integer number (15384400).

Almost surely, 2^105536641 is an apocalyptic number.

It is an amenable number.

105536641 is a deficient number, since it is larger than the sum of its proper divisors (17538559).

105536641 is an frugal number, since it uses more digits than its factorization.

105536641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307708 (or 307694 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 105536641 is about 10273.1027932169. The cubic root of 105536641 is about 472.5717495066.

The spelling of 105536641 in words is "one hundred five million, five hundred thirty-six thousand, six hundred forty-one".