105013321 has 24 divisors (see below), whose sum is σ = 128373120. Its totient is φ = 85532832.

The previous prime is 105013319. The next prime is 105013327. The reversal of 105013321 is 123310501.

It is not a de Polignac number, because 105013321 - 2¹ = 105013319 is a prime.

It is a super-2 number, since 2×105013321² = 22055595174898082, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105013295 and 105013304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105013327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94656 + ... + 95758.

It is an arithmetic number, because the mean of its divisors is an integer number (5348880).

Almost surely, 2^105013321 is an apocalyptic number.

It is an amenable number.

105013321 is a deficient number, since it is larger than the sum of its proper divisors (23359799).

105013321 is a wasteful number, since it uses less digits than its factorization.

105013321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 105013321 is about 10247.6007435887. The cubic root of 105013321 is about 471.7893477917.

Adding to 105013321 its reverse (123310501), we get a palindrome (228323822).

The spelling of 105013321 in words is "one hundred five million, thirteen thousand, three hundred twenty-one".