101768 has 8 divisors (see below), whose sum is σ = 190830. Its totient is φ = 50880.

The previous prime is 101749. The next prime is 101771. The reversal of 101768 is 867101.

It can be written as a sum of positive squares in only one way, i.e., 68644 + 33124 = 262^2 + 182^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

101768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6353 + ... + 6368.

2¹⁰¹⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

101768 is a deficient number, since it is larger than the sum of its proper divisors (89062).

101768 is a wasteful number, since it uses less digits than its factorization.

101768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12727 (or 12723 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 101768 is about 319.0109715982. The cubic root of 101768 is about 46.6878362003.

Adding to 101768 its reverse (867101), we get a palindrome (968869).

The spelling of 101768 in words is "one hundred one thousand, seven hundred sixty-eight".