100244200320 has 640 divisors, whose sum is σ = 392416358400. Its totient is φ = 24184811520.

The previous prime is 100244200313. The next prime is 100244200333. The reversal of 100244200320 is 23002442001.

100244200320 is a `hidden beast` number, since 100 + 2 + 44 + 200 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 100244200293 and 100244200302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 209277841 + ... + 209278319.

It is an arithmetic number, because the mean of its divisors is an integer number (613150560).

Almost surely, 2^100244200320 is an apocalyptic number.

100244200320 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 100244200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196208179200).

100244200320 is an abundant number, since it is smaller than the sum of its proper divisors (292172158080).

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

100244200320 is a wasteful number, since it uses less digits than its factorization.

100244200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 100244200320 its reverse (23002442001), we get a palindrome (123246642321).

The spelling of 100244200320 in words is "one hundred billion, two hundred forty-four million, two hundred thousand, three hundred twenty".