100564320 has 192 divisors, whose sum is σ = 333123840. Its totient is φ = 25479168.

The previous prime is 100564301. The next prime is 100564327. The reversal of 100564320 is 23465001.

It is a happy number.

It is a super-2 number, since 2×100564320² = 20226364914124800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100564327) 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 31 ways as a sum of consecutive naturals, for example, 1500927 + ... + 1500993.

It is an arithmetic number, because the mean of its divisors is an integer number (1735020).

Almost surely, 2^100564320 is an apocalyptic number.

100564320 is a gapful number since it is divisible by the number (10) 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 100564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166561920).

100564320 is an abundant number, since it is smaller than the sum of its proper divisors (232559520).

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

100564320 is a wasteful number, since it uses less digits than its factorization.

100564320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 100564320 is about 10028.1763047924. The cubic root of 100564320 is about 465.0303599093.

It can be divided in two parts, 1005 and 64320, that multiplied together give a square (64641600 = 8040²).

The spelling of 100564320 in words is "one hundred million, five hundred sixty-four thousand, three hundred twenty".