100826563 has 2 divisors, whose sum is σ = 100826564. Its totient is φ = 100826562.

The previous prime is 100826527. The next prime is 100826567. The reversal of 100826563 is 365628001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100826563 is a prime.

It is equal to p_5806183 and since 100826563 and 5806183 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (100826567) 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, 50413281 + 50413282.

It is an arithmetic number, because the mean of its divisors is an integer number (50413282).

Almost surely, 2^100826563 is an apocalyptic number.

100826563 is a deficient number, since it is larger than the sum of its proper divisors (1).

100826563 is an equidigital number, since it uses as much as digits as its factorization.

100826563 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 100826563 is about 10041.2431003337. The cubic root of 100826563 is about 465.4342311351.

The spelling of 100826563 in words is "one hundred million, eight hundred twenty-six thousand, five hundred sixty-three".