20105627 has 2 divisors, whose sum is σ = 20105628. Its totient is φ = 20105626.

The previous prime is 20105599. The next prime is 20105647. The reversal of 20105627 is 72650102.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 20105627 - 2²⁴ = 3328411 is a prime.

It is not a weakly prime, because it can be changed into another prime (20105647) 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 as a sum of consecutive naturals, namely, 10052813 + 10052814.

It is an arithmetic number, because the mean of its divisors is an integer number (10052814).

Almost surely, 2^20105627 is an apocalyptic number.

20105627 is a deficient number, since it is larger than the sum of its proper divisors (1).

20105627 is an equidigital number, since it uses as much as digits as its factorization.

20105627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 20105627 is about 4483.9298611820. The cubic root of 20105627 is about 271.9187825204.

Adding to 20105627 its reverse (72650102), we get a palindrome (92755729).

It can be divided in two parts, 20 and 105627, that multiplied together give a triangular number (2112540 = T₂₀₅₅).

The spelling of 20105627 in words is "twenty million, one hundred five thousand, six hundred twenty-seven".