105430050 has 216 divisors, whose sum is σ = 331652880. Its totient is φ = 23803200.

The previous prime is 105430049. The next prime is 105430067. The reversal of 105430050 is 50034501.

It is a super-2 number, since 2×105430050² = 22230990886005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1786921 + ... + 1786979.

It is an arithmetic number, because the mean of its divisors is an integer number (1535430).

Almost surely, 2^105430050 is an apocalyptic number.

105430050 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 105430050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165826440).

105430050 is an abundant number, since it is smaller than the sum of its proper divisors (226222830).

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

105430050 is a wasteful number, since it uses less digits than its factorization.

105430050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 105430050 is about 10267.9136147515. The cubic root of 105430050 is about 472.4125982622.

Adding to 105430050 its reverse (50034501), we get a palindrome (155464551).

The spelling of 105430050 in words is "one hundred five million, four hundred thirty thousand, fifty".