100720564 has 48 divisors (see below), whose sum is σ = 208510848. Its totient is φ = 41678208.

The previous prime is 100720561. The next prime is 100720579. The reversal of 100720564 is 465027001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100720561) 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 in 15 ways as a sum of consecutive naturals, for example, 98922 + ... + 99934.

It is an arithmetic number, because the mean of its divisors is an integer number (4343976).

Almost surely, 2^100720564 is an apocalyptic number.

100720564 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 100720564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104255424).

100720564 is an abundant number, since it is smaller than the sum of its proper divisors (107790284).

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

100720564 is a wasteful number, since it uses less digits than its factorization.

100720564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 100720564 is about 10035.9635312211. The cubic root of 100720564 is about 465.2710702228.

Adding to 100720564 its reverse (465027001), we get a palindrome (565747565).

The spelling of 100720564 in words is "one hundred million, seven hundred twenty thousand, five hundred sixty-four".