105340001 has 8 divisors (see below), whose sum is σ = 113625960. Its totient is φ = 97080192.

The previous prime is 105339959. The next prime is 105340003. The reversal of 105340001 is 100043501.

It can be written as a sum of positive squares in 4 ways, for example, as 6635776 + 98704225 = 2576^2 + 9935^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105340001 - 2¹⁸ = 105077857 is a prime.

It is a super-2 number, since 2×105340001² = 22193031621360002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105340003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2285 + ... + 14693.

It is an arithmetic number, because the mean of its divisors is an integer number (14203245).

Almost surely, 2^105340001 is an apocalyptic number.

It is an amenable number.

105340001 is a deficient number, since it is larger than the sum of its proper divisors (8285959).

105340001 is a wasteful number, since it uses less digits than its factorization.

105340001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13075.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 105340001 is about 10263.5277073724. The cubic root of 105340001 is about 472.2780623015.

Adding to 105340001 its reverse (100043501), we get a palindrome (205383502).

The spelling of 105340001 in words is "one hundred five million, three hundred forty thousand, one".