107768 has 16 divisors (see below), whose sum is σ = 213000. Its totient is φ = 50976.

The previous prime is 107761. The next prime is 107773. The reversal of 107768 is 867701.

It is a super-2 number, since 2×107768² = 23227883648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107768.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107768.

It is not an unprimeable number, because it can be changed into a prime (107761) by changing a digit.

107768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 203 + ... + 506.

2¹⁰⁷⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

107768 is a deficient number, since it is larger than the sum of its proper divisors (105232).

107768 is a wasteful number, since it uses less digits than its factorization.

107768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 107768 is about 328.2803679783. The cubic root of 107768 is about 47.5879073865.

The spelling of 107768 in words is "one hundred seven thousand, seven hundred sixty-eight".