105242334 has 64 divisors (see below), whose sum is σ = 228096000. Its totient is φ = 32296320.

The previous prime is 105242329. The next prime is 105242339. The reversal of 105242334 is 433242501.

It is an interprime number because it is at equal distance from previous prime (105242329) and next prime (105242339).

It is a super-2 number, since 2×105242334² = 22151897731535112, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105242339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587857 + ... + 588035.

It is an arithmetic number, because the mean of its divisors is an integer number (3564000).

Almost surely, 2^105242334 is an apocalyptic number.

105242334 is an abundant number, since it is smaller than the sum of its proper divisors (122853666).

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

105242334 is a wasteful number, since it uses less digits than its factorization.

105242334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 105242334 is about 10258.7686395590. The cubic root of 105242334 is about 472.1320581125.

Adding to 105242334 its reverse (433242501), we get a palindrome (538484835).

The spelling of 105242334 in words is "one hundred five million, two hundred forty-two thousand, three hundred thirty-four".