100563021 has 12 divisors (see below), whose sum is σ = 156431548. Its totient is φ = 61884864.

The previous prime is 100562941. The next prime is 100563059. The reversal of 100563021 is 120365001.

100563021 is a `hidden beast` number, since 10 + 0 + 5 + 630 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49154121 + 51408900 = 7011^2 + 7170^2 .

It is not a de Polignac number, because 100563021 - 2⁷ = 100562893 is a prime.

It is a super-2 number, since 2×100563021² = 20225842385292882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100562985 and 100563003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100563091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429640 + ... + 429873.

Almost surely, 2^100563021 is an apocalyptic number.

It is an amenable number.

100563021 is a deficient number, since it is larger than the sum of its proper divisors (55868527).

100563021 is a wasteful number, since it uses less digits than its factorization.

100563021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859532 (or 859529 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 100563021 is about 10028.1115370742. Note that the first 3 decimals coincide. The cubic root of 100563021 is about 465.0283576185.

The spelling of 100563021 in words is "one hundred million, five hundred sixty-three thousand, twenty-one".