100020564 has 54 divisors (see below), whose sum is σ = 294113274. Its totient is φ = 28576800.

The previous prime is 100020551. The next prime is 100020619. The reversal of 100020564 is 465020001.

It is a happy number.

100020564 is a `hidden beast` number, since 100 + 0 + 2 + 0 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90098064 + 9922500 = 9492^2 + 3150^2 .

It is a super-2 number, since 2×100020564² = 20008226445756192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26587 + ... + 30114.

Almost surely, 2^100020564 is an apocalyptic number.

100020564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100020564 is an abundant number, since it is smaller than the sum of its proper divisors (194092710).

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

100020564 is a wasteful number, since it uses less digits than its factorization.

100020564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56725 (or 56713 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 100020564 is about 10001.0281471457. The cubic root of 100020564 is about 464.1906977249.

Adding to 100020564 its reverse (465020001), we get a palindrome (565040565).

The spelling of 100020564 in words is "one hundred million, twenty thousand, five hundred sixty-four".