105405242 has 8 divisors (see below), whose sum is σ = 158378976. Its totient is φ = 52612252.

The previous prime is 105405241. The next prime is 105405263. The reversal of 105405242 is 242504501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105405242² = 22220530082157128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105405241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43718 + ... + 46065.

It is an arithmetic number, because the mean of its divisors is an integer number (19797372).

Almost surely, 2^105405242 is an apocalyptic number.

105405242 is a deficient number, since it is larger than the sum of its proper divisors (52973734).

105405242 is an equidigital number, since it uses as much as digits as its factorization.

105405242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90372.

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 105405242 is about 10266.7055085845. The cubic root of 105405242 is about 472.3755419989.

Adding to 105405242 its reverse (242504501), we get a palindrome (347909743).

The spelling of 105405242 in words is "one hundred five million, four hundred five thousand, two hundred forty-two".