105102306 has 32 divisors (see below), whose sum is σ = 233956800. Its totient is φ = 34974720.

The previous prime is 105102299. The next prime is 105102331. The reversal of 105102306 is 603201501.

It is a super-2 number, since 2×105102306² = 22092989453035272, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40261 + ... + 42791.

It is an arithmetic number, because the mean of its divisors is an integer number (7311150).

Almost surely, 2^105102306 is an apocalyptic number.

105102306 is an abundant number, since it is smaller than the sum of its proper divisors (128854494).

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

105102306 is a wasteful number, since it uses less digits than its factorization.

105102306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105102306 is about 10251.9415722096. The cubic root of 105102306 is about 471.9225700095.

Adding to 105102306 its reverse (603201501), we get a palindrome (708303807).

The spelling of 105102306 in words is "one hundred five million, one hundred two thousand, three hundred six".