105557309 has 8 divisors (see below), whose sum is σ = 124011552. Its totient is φ = 88579440.

The previous prime is 105557299. The next prime is 105557317. The reversal of 105557309 is 903755501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105557309 - 2¹² = 105553213 is a prime.

It is a super-2 number, since 2×105557309² = 22284690966642962, 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 (105557339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368939 + ... + 369224.

It is an arithmetic number, because the mean of its divisors is an integer number (15501444).

Almost surely, 2^105557309 is an apocalyptic number.

It is an amenable number.

105557309 is a deficient number, since it is larger than the sum of its proper divisors (18454243).

105557309 is a wasteful number, since it uses less digits than its factorization.

105557309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738187.

The product of its (nonzero) digits is 23625, while the sum is 35.

The square root of 105557309 is about 10274.1086718021. The cubic root of 105557309 is about 472.6025965354.

The spelling of 105557309 in words is "one hundred five million, five hundred fifty-seven thousand, three hundred nine".