105772935 has 16 divisors (see below), whose sum is σ = 170127360. Its totient is φ = 56115360.

The previous prime is 105772903. The next prime is 105772969. The reversal of 105772935 is 539277501.

It is not a de Polignac number, because 105772935 - 2⁵ = 105772903 is a prime.

It is a super-2 number, since 2×105772935² = 22375827557028450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105772893 and 105772902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15595 + ... + 21324.

It is an arithmetic number, because the mean of its divisors is an integer number (10632960).

Almost surely, 2^105772935 is an apocalyptic number.

105772935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105772935 is a deficient number, since it is larger than the sum of its proper divisors (64354425).

105772935 is a wasteful number, since it uses less digits than its factorization.

105772935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37118.

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 105772935 is about 10284.5969780055. The cubic root of 105772935 is about 472.9241788694.

The spelling of 105772935 in words is "one hundred five million, seven hundred seventy-two thousand, nine hundred thirty-five".