105037314 has 16 divisors (see below), whose sum is σ = 210469440. Its totient is φ = 34946640.

The previous prime is 105037313. The next prime is 105037319. The reversal of 105037314 is 413730501.

It is a super-2 number, since 2×105037314² = 22065674664669192, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105037313) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12934 + ... + 19425.

It is an arithmetic number, because the mean of its divisors is an integer number (13154340).

Almost surely, 2^105037314 is an apocalyptic number.

105037314 is an abundant number, since it is smaller than the sum of its proper divisors (105432126).

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

105037314 is a wasteful number, since it uses less digits than its factorization.

105037314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32905.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 105037314 is about 10248.7713409950. The cubic root of 105037314 is about 471.8252758680.

Adding to 105037314 its reverse (413730501), we get a palindrome (518767815).

The spelling of 105037314 in words is "one hundred five million, thirty-seven thousand, three hundred fourteen".