105129306 has 16 divisors (see below), whose sum is σ = 233620800. Its totient is φ = 35043084.

The previous prime is 105129293. The next prime is 105129313. The reversal of 105129306 is 603921501.

It is a super-2 number, since 2×105129306² = 22104341960083272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 105129306.

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 7 ways as a sum of consecutive naturals, for example, 973366 + ... + 973473.

It is an arithmetic number, because the mean of its divisors is an integer number (14601300).

Almost surely, 2^105129306 is an apocalyptic number.

105129306 is an abundant number, since it is smaller than the sum of its proper divisors (128491494).

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

105129306 is a wasteful number, since it uses less digits than its factorization.

105129306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946850 (or 1946844 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 105129306 is about 10253.2583113857. The cubic root of 105129306 is about 471.9629776812.

The spelling of 105129306 in words is "one hundred five million, one hundred twenty-nine thousand, three hundred six".