103205427 has 24 divisors (see below), whose sum is σ = 149784768. Its totient is φ = 63180000.

The previous prime is 103205413. The next prime is 103205483. The reversal of 103205427 is 724502301.

It is not a de Polignac number, because 103205427 - 2⁷ = 103205299 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103205397 and 103205406.

It is not an unprimeable number, because it can be changed into a prime (103205497) 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, 126852 + ... + 127662.

It is an arithmetic number, because the mean of its divisors is an integer number (6241032).

Almost surely, 2^103205427 is an apocalyptic number.

103205427 is a deficient number, since it is larger than the sum of its proper divisors (46579341).

103205427 is a wasteful number, since it uses less digits than its factorization.

103205427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 103205427 is about 10159.0071857441. The cubic root of 103205427 is about 469.0662417820.

Adding to 103205427 its reverse (724502301), we get a palindrome (827707728).

The spelling of 103205427 in words is "one hundred three million, two hundred five thousand, four hundred twenty-seven".