105106309 has 16 divisors (see below), whose sum is σ = 137940480. Its totient is φ = 77589360.

The previous prime is 105106283. The next prime is 105106321. The reversal of 105106309 is 903601501.

It is a cyclic number.

It is not a de Polignac number, because 105106309 - 2⁵ = 105106277 is a prime.

It is a super-2 number, since 2×105106309² = 22094672383206962, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105100309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34459 + ... + 37384.

It is an arithmetic number, because the mean of its divisors is an integer number (8621280).

Almost surely, 2^105106309 is an apocalyptic number.

105106309 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105106309 is a deficient number, since it is larger than the sum of its proper divisors (32834171).

105106309 is a wasteful number, since it uses less digits than its factorization.

105106309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71880.

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 105106309 is about 10252.1368016624. The cubic root of 105106309 is about 471.9285612579.

The spelling of 105106309 in words is "one hundred five million, one hundred six thousand, three hundred nine".