103006314 has 12 divisors (see below), whose sum is σ = 223180386. Its totient is φ = 34335432.

The previous prime is 103006307. The next prime is 103006331. The reversal of 103006314 is 413600301.

103006314 is a `hidden beast` number, since 1 + 0 + 30 + 0 + 631 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68608089 + 34398225 = 8283^2 + 5865^2 .

It is a super-2 number, since 2×103006314² = 21220601447733192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5722573 = 103006314 / (1 + 0 + 3 + 0 + 0 + 6 + 3 + 1 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2861269 + ... + 2861304.

Almost surely, 2^103006314 is an apocalyptic number.

103006314 is an abundant number, since it is smaller than the sum of its proper divisors (120174072).

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

103006314 is a wasteful number, since it uses less digits than its factorization.

103006314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722581 (or 5722578 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 103006314 is about 10149.2026287783. The cubic root of 103006314 is about 468.7643929447.

Adding to 103006314 its reverse (413600301), we get a palindrome (516606615).

The spelling of 103006314 in words is "one hundred three million, six thousand, three hundred fourteen".