100506563 has 2 divisors, whose sum is σ = 100506564. Its totient is φ = 100506562.

The previous prime is 100506551. The next prime is 100506569. The reversal of 100506563 is 365605001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100506563 - 2¹⁰ = 100505539 is a prime.

It is not a weakly prime, because it can be changed into another prime (100506569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50253281 + 50253282.

It is an arithmetic number, because the mean of its divisors is an integer number (50253282).

Almost surely, 2^100506563 is an apocalyptic number.

100506563 is a deficient number, since it is larger than the sum of its proper divisors (1).

100506563 is an equidigital number, since it uses as much as digits as its factorization.

100506563 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 100506563 is about 10025.2961552265. The cubic root of 100506563 is about 464.9413160613.

The spelling of 100506563 in words is "one hundred million, five hundred six thousand, five hundred sixty-three".