105535645 has 8 divisors (see below), whose sum is σ = 126743256. Its totient is φ = 84361536.

The previous prime is 105535637. The next prime is 105535649. The reversal of 105535645 is 546535501.

It can be written as a sum of positive squares in 4 ways, for example, as 11115556 + 94420089 = 3334^2 + 9717^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105535645 - 2³ = 105535637 is a prime.

It is a super-2 number, since 2×105535645² = 22275544731132050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105535645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105535649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 822 + ... + 14551.

It is an arithmetic number, because the mean of its divisors is an integer number (15842907).

Almost surely, 2^105535645 is an apocalyptic number.

It is an amenable number.

105535645 is a deficient number, since it is larger than the sum of its proper divisors (21207611).

105535645 is a wasteful number, since it uses less digits than its factorization.

105535645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16751.

The product of its (nonzero) digits is 45000, while the sum is 34.

The square root of 105535645 is about 10273.0543169984. The cubic root of 105535645 is about 472.5702628730.

The spelling of 105535645 in words is "one hundred five million, five hundred thirty-five thousand, six hundred forty-five".