103444100321100 has 576 divisors, whose sum is σ = 386858071498752. Its totient is φ = 20717938944000.

The previous prime is 103444100321033. The next prime is 103444100321131. The reversal of 103444100321100 is 1123001444301.

It is a super-2 number, since 2×103444100321100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77951337 + ... + 79267263.

It is an arithmetic number, because the mean of its divisors is an integer number (671628596352).

Almost surely, 2^{103444100321100} is an apocalyptic number.

103444100321100 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 103444100321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193429035749376).

103444100321100 is an abundant number, since it is smaller than the sum of its proper divisors (283413971177652).

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

103444100321100 is a wasteful number, since it uses less digits than its factorization.

103444100321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316086 (or 1316079 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 103444100321100 its reverse (1123001444301), we get a palindrome (104567101765401).

The spelling of 103444100321100 in words is "one hundred three trillion, four hundred forty-four billion, one hundred million, three hundred twenty-one thousand, one hundred".