105430164 has 72 divisors (see below), whose sum is σ = 301260960. Its totient is φ = 28534464.

The previous prime is 105430153. The next prime is 105430187. The reversal of 105430164 is 461034501.

It is a super-2 number, since 2×105430164² = 22231038962133792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6454 + ... + 15890.

It is an arithmetic number, because the mean of its divisors is an integer number (4184180).

Almost surely, 2^105430164 is an apocalyptic number.

105430164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105430164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150630480).

105430164 is an abundant number, since it is smaller than the sum of its proper divisors (195830796).

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

105430164 is a wasteful number, since it uses less digits than its factorization.

105430164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9477 (or 9468 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105430164 is about 10267.9191660239. The cubic root of 105430164 is about 472.4127685331.

Adding to 105430164 its reverse (461034501), we get a palindrome (566464665).

The spelling of 105430164 in words is "one hundred five million, four hundred thirty thousand, one hundred sixty-four".