105005430 has 64 divisors (see below), whose sum is σ = 296498880. Its totient is φ = 26353152.

The previous prime is 105005429. The next prime is 105005443. The reversal of 105005430 is 34500501.

It is a super-2 number, since 2×105005430² = 22052280658969800, which contains 22 as substring.

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

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 6849 + ... + 16028.

It is an arithmetic number, because the mean of its divisors is an integer number (4632795).

Almost surely, 2^105005430 is an apocalyptic number.

105005430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105005430 is an abundant number, since it is smaller than the sum of its proper divisors (191493450).

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

105005430 is a wasteful number, since it uses less digits than its factorization.

105005430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22910 (or 22904 counting only the distinct ones).

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

The square root of 105005430 is about 10247.2157194040. The cubic root of 105005430 is about 471.7775302973. Note that the first 3 decimals are identical.

Adding to 105005430 its reverse (34500501), we get a palindrome (139505931).

The spelling of 105005430 in words is "one hundred five million, five thousand, four hundred thirty".