105342240 has 48 divisors (see below), whose sum is σ = 331829568. Its totient is φ = 28091136.

The previous prime is 105342229. The next prime is 105342271. The reversal of 105342240 is 42243501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105342240² = 22193975056435200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109252 + ... + 110211.

It is an arithmetic number, because the mean of its divisors is an integer number (6913116).

Almost surely, 2^105342240 is an apocalyptic number.

105342240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105342240 is an abundant number, since it is smaller than the sum of its proper divisors (226487328).

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

105342240 is a wasteful number, since it uses less digits than its factorization.

105342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219481 (or 219473 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 105342240 is about 10263.6367823496. The cubic root of 105342240 is about 472.2814083652.

Adding to 105342240 its reverse (42243501), we get a palindrome (147585741).

The spelling of 105342240 in words is "one hundred five million, three hundred forty-two thousand, two hundred forty".