105342327 has 18 divisors (see below), whose sum is σ = 160596072. Its totient is φ = 66529944.

The previous prime is 105342271. The next prime is 105342331. The reversal of 105342327 is 723243501.

It is not a de Polignac number, because 105342327 - 2²³ = 96953719 is a prime.

It is a super-2 number, since 2×105342327² = 22194011715549858, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105342327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105342397) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12963 + ... + 19460.

It is an arithmetic number, because the mean of its divisors is an integer number (8922004).

Almost surely, 2^105342327 is an apocalyptic number.

105342327 is a deficient number, since it is larger than the sum of its proper divisors (55253745).

105342327 is a wasteful number, since it uses less digits than its factorization.

105342327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32467 (or 32445 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 105342327 is about 10263.6410206125. The cubic root of 105342327 is about 472.2815383811.

Adding to 105342327 its reverse (723243501), we get a palindrome (828585828).

The spelling of 105342327 in words is "one hundred five million, three hundred forty-two thousand, three hundred twenty-seven".