106788 has 24 divisors (see below), whose sum is σ = 272160. Its totient is φ = 32320.

The previous prime is 106787. The next prime is 106801. The reversal of 106788 is 887601.

It is a super-2 number, since 2×106788² = 22807353888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106781) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273 + ... + 536.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2¹⁰⁶⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

106788 is an abundant number, since it is smaller than the sum of its proper divisors (165372).

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

106788 is a wasteful number, since it uses less digits than its factorization.

106788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 106788 is about 326.7843325498. The cubic root of 106788 is about 47.4432193177.

The spelling of 106788 in words is "one hundred six thousand, seven hundred eighty-eight".