1005114345 has 32 divisors (see below), whose sum is σ = 1697047680. Its totient is φ = 506580480.

The previous prime is 1005114343. The next prime is 1005114347. The reversal of 1005114345 is 5434115001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1005114343) and next prime (1005114347).

It is not a de Polignac number, because 1005114345 - 2¹ = 1005114343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005114343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115797 + ... + 124173.

It is an arithmetic number, because the mean of its divisors is an integer number (53032740).

Almost surely, 2^1005114345 is an apocalyptic number.

1005114345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005114345 is a deficient number, since it is larger than the sum of its proper divisors (691933335).

1005114345 is a wasteful number, since it uses less digits than its factorization.

1005114345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8825.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1005114345 is about 31703.5383671918. The cubic root of 1005114345 is about 1001.7018836157.

Adding to 1005114345 its reverse (5434115001), we get a palindrome (6439229346).

The spelling of 1005114345 in words is "one billion, five million, one hundred fourteen thousand, three hundred forty-five".