105353430 has 192 divisors, whose sum is σ = 327499200. Its totient is φ = 21482496.

The previous prime is 105353401. The next prime is 105353431. The reversal of 105353430 is 34353501.

It is a happy number.

It is a super-2 number, since 2×105353430² = 22198690425529800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105353430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105353431) 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 95 ways as a sum of consecutive naturals, for example, 706996 + ... + 707144.

It is an arithmetic number, because the mean of its divisors is an integer number (1705725).

Almost surely, 2^105353430 is an apocalyptic number.

105353430 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 105353430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163749600).

105353430 is an abundant number, since it is smaller than the sum of its proper divisors (222145770).

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

105353430 is a wasteful number, since it uses less digits than its factorization.

105353430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 105353430 is about 10264.1818962838. The cubic root of 105353430 is about 472.2981305014.

The spelling of 105353430 in words is "one hundred five million, three hundred fifty-three thousand, four hundred thirty".