105242430 has 64 divisors (see below), whose sum is σ = 263969280. Its totient is φ = 26826624.

The previous prime is 105242383. The next prime is 105242477. The reversal of 105242430 is 34242501.

It is an interprime number because it is at equal distance from previous prime (105242383) and next prime (105242477).

It is a super-2 number, since 2×105242430² = 22151938144609800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105242397 and 105242406.

It is a congruent number.

It is an unprimeable number.

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, 64687 + ... + 66293.

It is an arithmetic number, because the mean of its divisors is an integer number (4124520).

Almost surely, 2^105242430 is an apocalyptic number.

105242430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105242430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131984640).

105242430 is an abundant number, since it is smaller than the sum of its proper divisors (158726850).

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

105242430 is a wasteful number, since it uses less digits than its factorization.

105242430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713.

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

The square root of 105242430 is about 10258.7733184821. The cubic root of 105242430 is about 472.1322016690.

Adding to 105242430 its reverse (34242501), we get a palindrome (139484931).

The spelling of 105242430 in words is "one hundred five million, two hundred forty-two thousand, four hundred thirty".