10218105 has 72 divisors (see below), whose sum is σ = 20327112. Its totient is φ = 4727808.

The previous prime is 10218101. The next prime is 10218113. The reversal of 10218105 is 50181201.

It can be written as a sum of positive squares in 4 ways, for example, as 4210704 + 6007401 = 2052^2 + 2451^2 .

It is not a de Polignac number, because 10218105 - 2² = 10218101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10218101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 276147 + ... + 276183.

It is an arithmetic number, because the mean of its divisors is an integer number (282321).

Almost surely, 2^10218105 is an apocalyptic number.

10218105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10218105 is a deficient number, since it is larger than the sum of its proper divisors (10109007).

10218105 is a wasteful number, since it uses less digits than its factorization.

10218105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 10218105 is about 3196.5770755607. The cubic root of 10218105 is about 216.9985276008.

Adding to 10218105 its reverse (50181201), we get a palindrome (60399306).

The spelling of 10218105 in words is "ten million, two hundred eighteen thousand, one hundred five".