100433304112400 has 360 divisors, whose sum is σ = 286078946025600. Its totient is φ = 33869607206400.

The previous prime is 100433304112387. The next prime is 100433304112487. The reversal of 100433304112400 is 4211403334001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100433304112400.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 510422837 + ... + 510619563.

It is an arithmetic number, because the mean of its divisors is an integer number (794663738960).

Almost surely, 2^{100433304112400} is an apocalyptic number.

100433304112400 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 100433304112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143039473012800).

100433304112400 is an abundant number, since it is smaller than the sum of its proper divisors (185645641913200).

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

100433304112400 is an equidigital number, since it uses as much as digits as its factorization.

100433304112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196888 (or 196802 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 100433304112400 its reverse (4211403334001), we get a palindrome (104644707446401).

The spelling of 100433304112400 in words is "one hundred trillion, four hundred thirty-three billion, three hundred four million, one hundred twelve thousand, four hundred".