105216405 has 16 divisors (see below), whose sum is σ = 192395904. Its totient is φ = 48098880.

The previous prime is 105216403. The next prime is 105216407. The reversal of 105216405 is 504612501.

It is an interprime number because it is at equal distance from previous prime (105216403) and next prime (105216407).

It is not a de Polignac number, because 105216405 - 2¹ = 105216403 is a prime.

It is a super-2 number, since 2×105216405² = 22140983762248050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105216403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500926 + ... + 501135.

It is an arithmetic number, because the mean of its divisors is an integer number (12024744).

Almost surely, 2^105216405 is an apocalyptic number.

105216405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105216405 is a deficient number, since it is larger than the sum of its proper divisors (87179499).

105216405 is a wasteful number, since it uses less digits than its factorization.

105216405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002076.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105216405 is about 10257.5048135499. The cubic root of 105216405 is about 472.0932812022.

Adding to 105216405 its reverse (504612501), we get a palindrome (609828906).

The spelling of 105216405 in words is "one hundred five million, two hundred sixteen thousand, four hundred five".