105210314 has 32 divisors (see below), whose sum is σ = 187240896. Its totient is φ = 43787520.

The previous prime is 105210269. The next prime is 105210317. The reversal of 105210314 is 413012501.

It is a super-2 number, since 2×105210314² = 22138420343957192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 105210292 and 105210301.

It is not an unprimeable number, because it can be changed into a prime (105210317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10037 + ... + 17639.

It is an arithmetic number, because the mean of its divisors is an integer number (5851278).

Almost surely, 2^105210314 is an apocalyptic number.

105210314 is a deficient number, since it is larger than the sum of its proper divisors (82030582).

105210314 is a wasteful number, since it uses less digits than its factorization.

105210314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7670.

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

The square root of 105210314 is about 10257.2079046883. The cubic root of 105210314 is about 472.0841711663.

Adding to 105210314 its reverse (413012501), we get a palindrome (518222815).

The spelling of 105210314 in words is "one hundred five million, two hundred ten thousand, three hundred fourteen".