105216342 has 64 divisors (see below), whose sum is σ = 267369984. Its totient is φ = 26807040.

The previous prime is 105216341. The next prime is 105216343. The reversal of 105216342 is 243612501.

It is an interprime number because it is at equal distance from previous prime (105216341) and next prime (105216343).

It is a super-2 number, since 2×105216342² = 22140957247721928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105216341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22338 + ... + 26634.

It is an arithmetic number, because the mean of its divisors is an integer number (4177656).

Almost surely, 2^105216342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105216342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133684992).

105216342 is an abundant number, since it is smaller than the sum of its proper divisors (162153642).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105216342 is a wasteful number, since it uses less digits than its factorization.

105216342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4373.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105216342 is about 10257.5017426272. The cubic root of 105216342 is about 472.0931869777.

Adding to 105216342 its reverse (243612501), we get a palindrome (348828843).

The spelling of 105216342 in words is "one hundred five million, two hundred sixteen thousand, three hundred forty-two".