105613242 has 32 divisors (see below), whose sum is σ = 242898432. Its totient is φ = 29988144.

The previous prime is 105613241. The next prime is 105613243. The reversal of 105613242 is 242316501.

It is an interprime number because it is at equal distance from previous prime (105613241) and next prime (105613243).

It is a super-2 number, since 2×105613242² = 22308313771501128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105613241) 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, 868 + ... + 14559.

It is an arithmetic number, because the mean of its divisors is an integer number (7590576).

Almost surely, 2^105613242 is an apocalyptic number.

105613242 is an abundant number, since it is smaller than the sum of its proper divisors (137285190).

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

105613242 is a wasteful number, since it uses less digits than its factorization.

105613242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15602.

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

The square root of 105613242 is about 10276.8303479234. The cubic root of 105613242 is about 472.6860564545.

Adding to 105613242 its reverse (242316501), we get a palindrome (347929743).

The spelling of 105613242 in words is "one hundred five million, six hundred thirteen thousand, two hundred forty-two".