105103314 has 12 divisors (see below), whose sum is σ = 227723886. Its totient is φ = 35034432.

The previous prime is 105103301. The next prime is 105103319. The reversal of 105103314 is 413301501.

It can be written as a sum of positive squares in only one way, i.e., 99500625 + 5602689 = 9975^2 + 2367^2 .

It is a super-2 number, since 2×105103314² = 22093413227565192, 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: 5839073 = 105103314 / (1 + 0 + 5 + 1 + 0 + 3 + 3 + 1 + 4).

It is not an unprimeable number, because it can be changed into a prime (105103319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2919519 + ... + 2919554.

Almost surely, 2^105103314 is an apocalyptic number.

105103314 is an abundant number, since it is smaller than the sum of its proper divisors (122620572).

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

105103314 is a wasteful number, since it uses less digits than its factorization.

105103314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5839081 (or 5839078 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105103314 is about 10251.9907335112. The cubic root of 105103314 is about 471.9240786869.

Adding to 105103314 its reverse (413301501), we get a palindrome (518404815).

It can be divided in two parts, 10510 and 3314, that added together give a cube (13824 = 24³).

The spelling of 105103314 in words is "one hundred five million, one hundred three thousand, three hundred fourteen".