105735764 has 12 divisors (see below), whose sum is σ = 186280500. Its totient is φ = 52512768.

The previous prime is 105735739. The next prime is 105735797. The reversal of 105735764 is 467537501.

It can be written as a sum of positive squares in 2 ways, for example, as 53173264 + 52562500 = 7292^2 + 7250^2 .

It is a super-2 number, since 2×105735764² = 22360103577327392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 88109 + ... + 89300.

It is an arithmetic number, because the mean of its divisors is an integer number (15523375).

Almost surely, 2^105735764 is an apocalyptic number.

It is an amenable number.

105735764 is a deficient number, since it is larger than the sum of its proper divisors (80544736).

105735764 is a wasteful number, since it uses less digits than its factorization.

105735764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177562 (or 177560 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 105735764 is about 10282.7896992985. The cubic root of 105735764 is about 472.8687736303.

The spelling of 105735764 in words is "one hundred five million, seven hundred thirty-five thousand, seven hundred sixty-four".