107766 has 12 divisors (see below), whose sum is σ = 233532. Its totient is φ = 35916.

The previous prime is 107761. The next prime is 107773. The reversal of 107766 is 667701.

It is a super-2 number, since 2×107766² = 23227021512, which contains 22 as substring.

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 107766.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2976 + ... + 3011.

It is an arithmetic number, because the mean of its divisors is an integer number (19461).

2¹⁰⁷⁷⁶⁶ is an apocalyptic number.

107766 is an abundant number, since it is smaller than the sum of its proper divisors (125766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107766 is a wasteful number, since it uses less digits than its factorization.

107766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5995 (or 5992 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 107766 is about 328.2773217875. The cubic root of 107766 is about 47.5876129998.

It can be divided in two parts, 10 and 7766, that added together give a 5-th power (7776 = 6⁵).

The spelling of 107766 in words is "one hundred seven thousand, seven hundred sixty-six".