100236224400 has 240 divisors, whose sum is σ = 346804511424. Its totient is φ = 24601098240.

The previous prime is 100236224371. The next prime is 100236224411. The reversal of 100236224400 is 4422632001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 5403942 + ... + 5422458.

Almost surely, 2^100236224400 is an apocalyptic number.

100236224400 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 100236224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173402255712).

100236224400 is an abundant number, since it is smaller than the sum of its proper divisors (246568287024).

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

100236224400 is a wasteful number, since it uses less digits than its factorization.

100236224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18898 (or 18887 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100236224400 its reverse (4422632001), we get a palindrome (104658856401).

The spelling of 100236224400 in words is "one hundred billion, two hundred thirty-six million, two hundred twenty-four thousand, four hundred".