27124101 has 24 divisors (see below), whose sum is σ = 40734720. Its totient is φ = 17373600.

The previous prime is 27124091. The next prime is 27124103. The reversal of 27124101 is 10142172.

It is not a de Polignac number, because 27124101 - 2¹³ = 27115909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27124103) 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, 53035 + ... + 53543.

It is an arithmetic number, because the mean of its divisors is an integer number (1697280).

Almost surely, 2^27124101 is an apocalyptic number.

It is an amenable number.

27124101 is a deficient number, since it is larger than the sum of its proper divisors (13610619).

27124101 is a wasteful number, since it uses less digits than its factorization.

27124101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 27124101 is about 5208.0803565229. The cubic root of 27124101 is about 300.4589309167.

Adding to 27124101 its reverse (10142172), we get a palindrome (37266273).

It can be divided in two parts, 27124 and 101, that added together give a square (27225 = 165²).

The spelling of 27124101 in words is "twenty-seven million, one hundred twenty-four thousand, one hundred one".