105242260 has 24 divisors (see below), whose sum is σ = 224310240. Its totient is φ = 41468064.

The previous prime is 105242251. The next prime is 105242261. The reversal of 105242260 is 62242501.

It is a super-3 number, since 3×105242260³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105242261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37930 + ... + 40609.

It is an arithmetic number, because the mean of its divisors is an integer number (9346260).

Almost surely, 2^105242260 is an apocalyptic number.

105242260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105242260 is an abundant number, since it is smaller than the sum of its proper divisors (119067980).

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

105242260 is a wasteful number, since it uses less digits than its factorization.

105242260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78615 (or 78613 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 105242260 is about 10258.7650328877. The cubic root of 105242260 is about 472.1319474543.

Adding to 105242260 its reverse (62242501), we get a palindrome (167484761).

The spelling of 105242260 in words is "one hundred five million, two hundred forty-two thousand, two hundred sixty".