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106681 is a prime number
BaseRepresentation
bin11010000010111001
312102100011
4122002321
511403211
62141521
7623011
oct320271
9172304
10106681
1173173
12518a1
1339733
142ac41
1521921
hex1a0b9

106681 has 2 divisors, whose sum is σ = 106682. Its totient is φ = 106680.

The previous prime is 106669. The next prime is 106693. The reversal of 106681 is 186601.

It is a balanced prime because it is at equal distance from previous prime (106669) and next prime (106693).

It can be written as a sum of positive squares in only one way, i.e., 60025 + 46656 = 245^2 + 216^2 .

It is an emirp because it is prime and its reverse (186601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106681 - 25 = 106649 is a prime.

It is a super-2 number, since 2×1066812 = 22761671522, which contains 22 as substring.

106681 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (106621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53340 + 53341.

It is an arithmetic number, because the mean of its divisors is an integer number (53341).

2106681 is an apocalyptic number.

It is an amenable number.

106681 is a deficient number, since it is larger than the sum of its proper divisors (1).

106681 is an equidigital number, since it uses as much as digits as its factorization.

106681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 106681 is about 326.6205749796. The cubic root of 106681 is about 47.4273682204.

It can be divided in two parts, 106 and 681, that added together give a palindrome (787).

The spelling of 106681 in words is "one hundred six thousand, six hundred eighty-one".