100444112244300 has 72 divisors (see below), whose sum is σ = 317038143385152. Its totient is φ = 24350087816000.

The previous prime is 100444112244227. The next prime is 100444112244347. The reversal of 100444112244300 is 3442211444001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15218801586 + ... + 15218808185.

It is an arithmetic number, because the mean of its divisors is an integer number (4403307547016).

Almost surely, 2^{100444112244300} is an apocalyptic number.

100444112244300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100444112244300 is an abundant number, since it is smaller than the sum of its proper divisors (216594031140852).

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

100444112244300 is a wasteful number, since it uses less digits than its factorization.

100444112244300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30437609799 (or 30437609792 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 100444112244300 its reverse (3442211444001), we get a palindrome (103886323688301).

The spelling of 100444112244300 in words is "one hundred trillion, four hundred forty-four billion, one hundred twelve million, two hundred forty-four thousand, three hundred".