105077709 has 16 divisors (see below), whose sum is σ = 169823040. Its totient is φ = 63683280.

The previous prime is 105077699. The next prime is 105077737. The reversal of 105077709 is 907770501.

It is not a de Polignac number, because 105077709 - 2¹⁷ = 104946637 is a prime.

It is a super-2 number, since 2×105077709² = 22082649857377362, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105077009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176602 + ... + 177195.

It is an arithmetic number, because the mean of its divisors is an integer number (10613940).

Almost surely, 2^105077709 is an apocalyptic number.

It is an amenable number.

105077709 is a deficient number, since it is larger than the sum of its proper divisors (64745331).

105077709 is a wasteful number, since it uses less digits than its factorization.

105077709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353817 (or 353811 counting only the distinct ones).

The product of its (nonzero) digits is 15435, while the sum is 36.

The square root of 105077709 is about 10250.7418755912. The cubic root of 105077709 is about 471.8857525962.

The spelling of 105077709 in words is "one hundred five million, seventy-seven thousand, seven hundred nine".