100573224400 has 240 divisors, whose sum is σ = 278032829760. Its totient is φ = 34576588800.

The previous prime is 100573224383. The next prime is 100573224407. The reversal of 100573224400 is 4422375001.

It is a super-2 number, since 2×100573224400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100573224407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56596312 + ... + 56598088.

It is an arithmetic number, because the mean of its divisors is an integer number (1158470124).

Almost surely, 2^100573224400 is an apocalyptic number.

100573224400 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 100573224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139016414880).

100573224400 is an abundant number, since it is smaller than the sum of its proper divisors (177459605360).

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

100573224400 is a wasteful number, since it uses less digits than its factorization.

100573224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

Adding to 100573224400 its reverse (4422375001), we get a palindrome (104995599401).

The spelling of 100573224400 in words is "one hundred billion, five hundred seventy-three million, two hundred twenty-four thousand, four hundred".