105304361 has 8 divisors (see below), whose sum is σ = 107984904. Its totient is φ = 102654720.

The previous prime is 105304351. The next prime is 105304363. The reversal of 105304361 is 163403501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22857961 + 82446400 = 4781^2 + 9080^2 .

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 105304361 - 2¹⁰ = 105303337 is a prime.

It is a super-2 number, since 2×105304361² = 22178016891236642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105304363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 746 + ... + 14531.

It is an arithmetic number, because the mean of its divisors is an integer number (13498113).

Almost surely, 2^105304361 is an apocalyptic number.

It is an amenable number.

105304361 is a deficient number, since it is larger than the sum of its proper divisors (2680543).

105304361 is a wasteful number, since it uses less digits than its factorization.

105304361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15451.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 105304361 is about 10261.7913153601. The cubic root of 105304361 is about 472.2247938735.

Adding to 105304361 its reverse (163403501), we get a palindrome (268707862).

The spelling of 105304361 in words is "one hundred five million, three hundred four thousand, three hundred sixty-one".