105348240 has 60 divisors (see below), whose sum is σ = 353796924. Its totient is φ = 28092672.

The previous prime is 105348233. The next prime is 105348247. The reversal of 105348240 is 42843501.

105348240 is a `hidden beast` number, since 10 + 534 + 82 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (105348233) and next prime (105348247).

It can be written as a sum of positive squares in 2 ways, for example, as 76317696 + 29030544 = 8736^2 + 5388^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×105348240² = 22196503342195200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105348247) 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 11 ways as a sum of consecutive naturals, for example, 72439 + ... + 73878.

Almost surely, 2^105348240 is an apocalyptic number.

105348240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105348240 is an abundant number, since it is smaller than the sum of its proper divisors (248448684).

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

105348240 is a wasteful number, since it uses less digits than its factorization.

105348240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146336 (or 146327 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 105348240 is about 10263.9290722413. The cubic root of 105348240 is about 472.2903748053.

The spelling of 105348240 in words is "one hundred five million, three hundred forty-eight thousand, two hundred forty".