106812 has 48 divisors (see below), whose sum is σ = 295680. Its totient is φ = 33264.

The previous prime is 106801. The next prime is 106823. The reversal of 106812 is 218601.

It is an interprime number because it is at equal distance from previous prime (106801) and next prime (106823).

It is a super-2 number, since 2×106812² = 22817606688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 106812.

It is an unprimeable number.

106812 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 15 ways as a sum of consecutive naturals, for example, 2463 + ... + 2505.

It is an arithmetic number, because the mean of its divisors is an integer number (6160).

2¹⁰⁶⁸¹² is an apocalyptic number.

106812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

106812 is the 207-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147840).

106812 is an abundant number, since it is smaller than the sum of its proper divisors (188868).

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

106812 is a wasteful number, since it uses less digits than its factorization.

106812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 106812 is about 326.8210519535. The cubic root of 106812 is about 47.4467732500.

The spelling of 106812 in words is "one hundred six thousand, eight hundred twelve".