105600045 has 32 divisors (see below), whose sum is σ = 174708864. Its totient is φ = 54432000.

The previous prime is 105600041. The next prime is 105600067. The reversal of 105600045 is 540006501.

It is a happy number.

It is not a de Polignac number, because 105600045 - 2² = 105600041 is a prime.

It is a super-2 number, since 2×105600045² = 22302739008004050, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105599994 and 105600030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105600041) 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 31 ways as a sum of consecutive naturals, for example, 64335 + ... + 65955.

It is an arithmetic number, because the mean of its divisors is an integer number (5459652).

Almost surely, 2^105600045 is an apocalyptic number.

105600045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105600045 is a deficient number, since it is larger than the sum of its proper divisors (69108819).

105600045 is a wasteful number, since it uses less digits than its factorization.

105600045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105600045 is about 10276.1882524602. The cubic root of 105600045 is about 472.6663673271. Note that the first 3 decimals are identical.

Adding to 105600045 its reverse (540006501), we get a palindrome (645606546).

The spelling of 105600045 in words is "one hundred five million, six hundred thousand, forty-five".