102105314 has 12 divisors (see below), whose sum is σ = 154611954. Its totient is φ = 50572512.

The previous prime is 102105301. The next prime is 102105323. The reversal of 102105314 is 413501201.

It can be written as a sum of positive squares in 3 ways, for example, as 99102025 + 3003289 = 9955^2 + 1733^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102105292 and 102105301.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21614 + ... + 25910.

Almost surely, 2^102105314 is an apocalyptic number.

102105314 is a deficient number, since it is larger than the sum of its proper divisors (52506640).

102105314 is an equidigital number, since it uses as much as digits as its factorization.

102105314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4517 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 102105314 is about 10104.7174131690. The cubic root of 102105314 is about 467.3936219777.

Adding to 102105314 its reverse (413501201), we get a palindrome (515606515).

The spelling of 102105314 in words is "one hundred two million, one hundred five thousand, three hundred fourteen".