10441003100 has 108 divisors (see below), whose sum is σ = 24962261688. Its totient is φ = 3759264000.

The previous prime is 10441003099. The next prime is 10441003109. The reversal of 10441003100 is 130014401.

It is a happy number.

It is a super-2 number, since 2×10441003100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10441003109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45593786 + ... + 45594014.

Almost surely, 2^10441003100 is an apocalyptic number.

10441003100 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 10441003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12481130844).

10441003100 is an abundant number, since it is smaller than the sum of its proper divisors (14521258588).

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

10441003100 is a wasteful number, since it uses less digits than its factorization.

10441003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10441003100 its reverse (130014401), we get a palindrome (10571017501).

The spelling of 10441003100 in words is "ten billion, four hundred forty-one million, three thousand, one hundred".