100444000000 has 126 divisors (see below), whose sum is σ = 250626323192. Its totient is φ = 40176000000.

The previous prime is 100443999991. The next prime is 100444000009. The reversal of 100444000000 is 444001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100443999991) and next prime (100444000009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100444000009) 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 13 ways as a sum of consecutive naturals, for example, 3987445 + ... + 4012555.

Almost surely, 2^100444000000 is an apocalyptic number.

100444000000 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 100444000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125313161596).

100444000000 is an abundant number, since it is smaller than the sum of its proper divisors (150182323192).

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

100444000000 is an frugal number, since it uses more digits than its factorization.

100444000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25157 (or 25118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 100444000000 its reverse (444001), we get a palindrome (100444444001).

The spelling of 100444000000 in words is "one hundred billion, four hundred forty-four million", and thus it is an aban number.