105235242 has 48 divisors (see below), whose sum is σ = 245944512. Its totient is φ = 29930880.

The previous prime is 105235237. The next prime is 105235259. The reversal of 105235242 is 242532501.

It is a super-2 number, since 2×105235242² = 22148912317597128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76642 + ... + 78002.

It is an arithmetic number, because the mean of its divisors is an integer number (5123844).

Almost surely, 2^105235242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105235242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122972256).

105235242 is an abundant number, since it is smaller than the sum of its proper divisors (140709270).

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

105235242 is a wasteful number, since it uses less digits than its factorization.

105235242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 105235242 is about 10258.4229782165. The cubic root of 105235242 is about 472.1214526345.

Adding to 105235242 its reverse (242532501), we get a palindrome (347767743).

The spelling of 105235242 in words is "one hundred five million, two hundred thirty-five thousand, two hundred forty-two".