105214240 has 24 divisors (see below), whose sum is σ = 248569020. Its totient is φ = 42085632.

The previous prime is 105214223. The next prime is 105214289. The reversal of 105214240 is 42412501.

It can be written as a sum of positive squares in 2 ways, for example, as 104284944 + 929296 = 10212^2 + 964^2 .

It is a super-2 number, since 2×105214240² = 22140072597555200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 328635 + ... + 328954.

Almost surely, 2^105214240 is an apocalyptic number.

105214240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105214240 is an abundant number, since it is smaller than the sum of its proper divisors (143354780).

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

105214240 is an equidigital number, since it uses as much as digits as its factorization.

105214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657604 (or 657596 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 105214240 is about 10257.3992805194. The cubic root of 105214240 is about 472.0900431489.

Adding to 105214240 its reverse (42412501), we get a palindrome (147626741).

The spelling of 105214240 in words is "one hundred five million, two hundred fourteen thousand, two hundred forty".