105405306 has 16 divisors (see below), whose sum is σ = 211249344. Its totient is φ = 35061984.

The previous prime is 105405283. The next prime is 105405323. The reversal of 105405306 is 603504501.

It is a super-2 number, since 2×105405306² = 22220557065907272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15115 + ... + 20958.

It is an arithmetic number, because the mean of its divisors is an integer number (13203084).

Almost surely, 2^105405306 is an apocalyptic number.

105405306 is an abundant number, since it is smaller than the sum of its proper divisors (105844038).

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

105405306 is a wasteful number, since it uses less digits than its factorization.

105405306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36565.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105405306 is about 10266.7086254554. The cubic root of 105405306 is about 472.3756376046.

Adding to 105405306 its reverse (603504501), we get a palindrome (708909807).

The spelling of 105405306 in words is "one hundred five million, four hundred five thousand, three hundred six".