1000440105 has 64 divisors (see below), whose sum is σ = 1875494400. Its totient is φ = 455196672.

The previous prime is 1000440101. The next prime is 1000440113. The reversal of 1000440105 is 5010440001.

It is not a de Polignac number, because 1000440105 - 2² = 1000440101 is a prime.

It is a super-2 number, since 2×1000440105² = 2001760807384822050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1000440101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1733577 + ... + 1734153.

It is an arithmetic number, because the mean of its divisors is an integer number (29304600).

Almost surely, 2^1000440105 is an apocalyptic number.

1000440105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1000440105 is a deficient number, since it is larger than the sum of its proper divisors (875054295).

1000440105 is an equidigital number, since it uses as much as digits as its factorization.

1000440105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1000440105 is about 31629.7345072639. The cubic root of 1000440105 is about 1000.1466801505.

Adding to 1000440105 its reverse (5010440001), we get a palindrome (6010880106).

The spelling of 1000440105 in words is "one billion, four hundred forty thousand, one hundred five".