105201027 has 24 divisors (see below), whose sum is σ = 158653040. Its totient is φ = 67106880.

The previous prime is 105201017. The next prime is 105201029. The reversal of 105201027 is 720102501.

It is not a de Polignac number, because 105201027 - 2¹⁰ = 105200003 is a prime.

It is a super-2 number, since 2×105201027² = 22134512163709458, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105201029) 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 23 ways as a sum of consecutive naturals, for example, 17724 + ... + 22902.

Almost surely, 2^105201027 is an apocalyptic number.

105201027 is a deficient number, since it is larger than the sum of its proper divisors (53452013).

105201027 is a wasteful number, since it uses less digits than its factorization.

105201027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5283 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 105201027 is about 10256.7551886549. The cubic root of 105201027 is about 472.0702803397.

Adding to 105201027 its reverse (720102501), we get a palindrome (825303528).

The spelling of 105201027 in words is "one hundred five million, two hundred one thousand, twenty-seven".