101000564 has 36 divisors (see below), whose sum is σ = 207645984. Its totient is φ = 42857136.

The previous prime is 101000531. The next prime is 101000579. The reversal of 101000564 is 465000101.

It is a happy number.

It is a super-2 number, since 2×101000564² = 20402227856636192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17687 + ... + 22689.

It is an arithmetic number, because the mean of its divisors is an integer number (5767944).

Almost surely, 2^101000564 is an apocalyptic number.

101000564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101000564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103822992).

101000564 is an abundant number, since it is smaller than the sum of its proper divisors (106645420).

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

101000564 is a wasteful number, since it uses less digits than its factorization.

101000564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 101000564 is about 10049.9036811305. The cubic root of 101000564 is about 465.7018176281.

Adding to 101000564 its reverse (465000101), we get a palindrome (566000665).

The spelling of 101000564 in words is "one hundred one million, five hundred sixty-four", and thus it is an aban number.