105301242 has 16 divisors (see below), whose sum is σ = 234002880. Its totient is φ = 35100396.

The previous prime is 105301241. The next prime is 105301279. The reversal of 105301242 is 242103501.

105301242 is a `hidden beast` number, since 10 + 530 + 124 + 2 = 666.

It is a super-2 number, since 2×105301242² = 22176703133485128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (105301241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 974958 + ... + 975065.

It is an arithmetic number, because the mean of its divisors is an integer number (14625180).

Almost surely, 2^105301242 is an apocalyptic number.

105301242 is an abundant number, since it is smaller than the sum of its proper divisors (128701638).

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

105301242 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 105301242 = (240125130)₉.

105301242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950034 (or 1950028 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105301242 is about 10261.6393427171. The cubic root of 105301242 is about 472.2201315668.

Adding to 105301242 its reverse (242103501), we get a palindrome (347404743).

The spelling of 105301242 in words is "one hundred five million, three hundred one thousand, two hundred forty-two".