105003000440 has 128 divisors (see below), whose sum is σ = 256660306560. Its totient is φ = 38431770624.

The previous prime is 105003000437. The next prime is 105003000457. The reversal of 105003000440 is 44000300501.

It is a super-2 number, since 2×105003000440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41063642 + ... + 41066198.

It is an arithmetic number, because the mean of its divisors is an integer number (2005158645).

Almost surely, 2^105003000440 is an apocalyptic number.

105003000440 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 105003000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128330153280).

105003000440 is an abundant number, since it is smaller than the sum of its proper divisors (151657306120).

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

105003000440 is a wasteful number, since it uses less digits than its factorization.

105003000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 105003000440 its reverse (44000300501), we get a palindrome (149003300941).

The spelling of 105003000440 in words is "one hundred five billion, three million, four hundred forty", and thus it is an aban number.