100344440400 has 120 divisors (see below), whose sum is σ = 321594267840. Its totient is φ = 26745400320.

The previous prime is 100344440389. The next prime is 100344440429. The reversal of 100344440400 is 4044443001.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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, 2564181 + ... + 2603019.

It is an arithmetic number, because the mean of its divisors is an integer number (2679952232).

Almost surely, 2^100344440400 is an apocalyptic number.

100344440400 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 100344440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160797133920).

100344440400 is an abundant number, since it is smaller than the sum of its proper divisors (221249827440).

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

100344440400 is a wasteful number, since it uses less digits than its factorization.

100344440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41013 (or 41002 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 100344440400 its reverse (4044443001), we get a palindrome (104388883401).

The spelling of 100344440400 in words is "one hundred billion, three hundred forty-four million, four hundred forty thousand, four hundred".