105165656 has 16 divisors (see below), whose sum is σ = 201995640. Its totient is φ = 51300160.

The previous prime is 105165653. The next prime is 105165661. The reversal of 105165656 is 656561501.

It is a super-2 number, since 2×105165656² = 22119630403820672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105165653) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 159986 + ... + 160641.

Almost surely, 2^105165656 is an apocalyptic number.

It is an amenable number.

105165656 is a deficient number, since it is larger than the sum of its proper divisors (96829984).

105165656 is a wasteful number, since it uses less digits than its factorization.

105165656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320674 (or 320670 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The square root of 105165656 is about 10255.0307654341. The cubic root of 105165656 is about 472.0173674544.

The spelling of 105165656 in words is "one hundred five million, one hundred sixty-five thousand, six hundred fifty-six".