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106787 is a prime number
BaseRepresentation
bin11010000100100011
312102111002
4122010203
511404122
62142215
7623222
oct320443
9172432
10106787
117325a
125196b
13397b5
142acb9
1521992
hex1a123

106787 has 2 divisors, whose sum is σ = 106788. Its totient is φ = 106786.

The previous prime is 106783. The next prime is 106801. The reversal of 106787 is 787601.

It can be divided in two parts, 1067 and 87, that multiplied together give a palindrome (92829).

It is a weak prime.

It is an emirp because it is prime and its reverse (787601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106787 - 22 = 106783 is a prime.

It is a super-2 number, since 2×1067872 = 22806926738, which contains 22 as substring.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106787.

It is not a weakly prime, because it can be changed into another prime (106781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53393 + 53394.

It is an arithmetic number, because the mean of its divisors is an integer number (53394).

2106787 is an apocalyptic number.

106787 is a deficient number, since it is larger than the sum of its proper divisors (1).

106787 is an equidigital number, since it uses as much as digits as its factorization.

106787 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 106787 is about 326.7828024851. The cubic root of 106787 is about 47.4430712256.

The spelling of 106787 in words is "one hundred six thousand, seven hundred eighty-seven".