1005638105 has 12 divisors (see below), whose sum is σ = 1214948196. Its totient is φ = 799092000.

The previous prime is 1005638089. The next prime is 1005638219. The reversal of 1005638105 is 5018365001.

It can be written as a sum of positive squares in 2 ways, for example, as 499433104 + 506205001 = 22348^2 + 22499^2 .

It is not a de Polignac number, because 1005638105 - 2⁴ = 1005638089 is a prime.

It is a super-2 number, since 2×1005638105² = 2022615996455982050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109595 + ... + 118415.

It is an arithmetic number, because the mean of its divisors is an integer number (101245683).

Almost surely, 2^1005638105 is an apocalyptic number.

It is an amenable number.

1005638105 is a deficient number, since it is larger than the sum of its proper divisors (209310091).

1005638105 is an frugal number, since it uses more digits than its factorization.

1005638105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9128 (or 8977 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 1005638105 is about 31711.7975680976. The cubic root of 1005638105 is about 1001.8758473299.

The spelling of 1005638105 in words is "one billion, five million, six hundred thirty-eight thousand, one hundred five".