100444314312 has 24 divisors (see below), whose sum is σ = 272036684790. Its totient is φ = 33481438080.

The previous prime is 100444314287. The next prime is 100444314331. The reversal of 100444314312 is 213413444001.

It can be written as a sum of positive squares in only one way, i.e., 64539370116 + 35904944196 = 254046^2 + 189486^2 .

It is a tau number, because it is divible by the number of its divisors (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 5 ways as a sum of consecutive naturals, for example, 697529889 + ... + 697530032.

Almost surely, 2^100444314312 is an apocalyptic number.

100444314312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100444314312 is an abundant number, since it is smaller than the sum of its proper divisors (171592370478).

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

100444314312 is a wasteful number, since it uses less digits than its factorization.

100444314312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395059933 (or 1395059926 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100444314312 its reverse (213413444001), we get a palindrome (313857758313).

The spelling of 100444314312 in words is "one hundred billion, four hundred forty-four million, three hundred fourteen thousand, three hundred twelve".