100506564 has 18 divisors (see below), whose sum is σ = 254058350. Its totient is φ = 33502176.

The previous prime is 100506563. The next prime is 100506569. The reversal of 100506564 is 465605001.

It is a happy number.

100506564 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 0 + 656 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59444100 + 41062464 = 7710^2 + 6408^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (100506563) 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 5 ways as a sum of consecutive naturals, for example, 1395889 + ... + 1395960.

Almost surely, 2^100506564 is an apocalyptic number.

It is an amenable number.

100506564 is an abundant number, since it is smaller than the sum of its proper divisors (153551786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100506564 is a wasteful number, since it uses less digits than its factorization.

100506564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791859 (or 2791854 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 100506564 is about 10025.2962051004. The cubic root of 100506564 is about 464.9413176033.

The spelling of 100506564 in words is "one hundred million, five hundred six thousand, five hundred sixty-four".