1005905145 has 32 divisors (see below), whose sum is σ = 1860053760. Its totient is φ = 454671360.

The previous prime is 1005905141. The next prime is 1005905167. The reversal of 1005905145 is 5415095001.

It is not a de Polignac number, because 1005905145 - 2² = 1005905141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005905141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44476 + ... + 63165.

It is an arithmetic number, because the mean of its divisors is an integer number (58126680).

Almost surely, 2^1005905145 is an apocalyptic number.

1005905145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005905145 is a deficient number, since it is larger than the sum of its proper divisors (854148615).

1005905145 is a wasteful number, since it uses less digits than its factorization.

1005905145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107745.

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 1005905145 is about 31716.0077090418. The cubic root of 1005905145 is about 1001.9645198014.

The spelling of 1005905145 in words is "one billion, five million, nine hundred five thousand, one hundred forty-five".