105285601 has 4 divisors (see below), whose sum is σ = 105318832. Its totient is φ = 105252372.

The previous prime is 105285577. The next prime is 105285611. The reversal of 105285601 is 106582501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105285601 - 2⁵ = 105285569 is a prime.

It is a super-2 number, since 2×105285601² = 22170115555862402, 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 105285601.

It is not an unprimeable number, because it can be changed into a prime (105285611) 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 3 ways as a sum of consecutive naturals, for example, 11295 + ... + 18388.

It is an arithmetic number, because the mean of its divisors is an integer number (26329708).

Almost surely, 2^105285601 is an apocalyptic number.

It is an amenable number.

105285601 is a deficient number, since it is larger than the sum of its proper divisors (33231).

105285601 is an equidigital number, since it uses as much as digits as its factorization.

105285601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33230.

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 105285601 is about 10260.8772042160. The cubic root of 105285601 is about 472.1967498837.

It can be divided in two parts, 10528 and 5601, that added together give a square (16129 = 127²).

The spelling of 105285601 in words is "one hundred five million, two hundred eighty-five thousand, six hundred one".