106785 has 32 divisors (see below), whose sum is σ = 218880. Its totient is φ = 48384.

The previous prime is 106783. The next prime is 106787. The reversal of 106785 is 587601.

It is an interprime number because it is at equal distance from previous prime (106783) and next prime (106787).

It is not a de Polignac number, because 106785 - 2¹ = 106783 is a prime.

It is a super-2 number, since 2×106785² = 22806072450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 889 + ... + 1001.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2¹⁰⁶⁷⁸⁵ is an apocalyptic number.

106785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106785 is the 189-th octagonal number.

It is an amenable number.

106785 is an abundant number, since it is smaller than the sum of its proper divisors (112095).

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

106785 is a wasteful number, since it uses less digits than its factorization.

106785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 106785 is about 326.7797423342. The cubic root of 106785 is about 47.4427750387.

The spelling of 106785 in words is "one hundred six thousand, seven hundred eighty-five".