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106807 = 292127
BaseRepresentation
bin11010000100110111
312102111211
4122010313
511404212
62142251
7623251
oct320467
9172454
10106807
1173278
1251987
13397cc
142acd1
15219a7
hex1a137

106807 has 6 divisors (see below), whose sum is σ = 111488. Its totient is φ = 102312.

The previous prime is 106801. The next prime is 106823. The reversal of 106807 is 708601.

It is not a de Polignac number, because 106807 - 211 = 104759 is a prime.

It is a super-2 number, since 2×1068072 = 22815470498, which contains 22 as substring.

It is a Duffinian number.

106807 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 778 + ... + 904.

2106807 is an apocalyptic number.

106807 is a deficient number, since it is larger than the sum of its proper divisors (4681).

106807 is an equidigital number, since it uses as much as digits as its factorization.

106807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 106807 is about 326.8134024180. The cubic root of 106807 is about 47.4460328913.

The spelling of 106807 in words is "one hundred six thousand, eight hundred seven".

Divisors: 1 29 127 841 3683 106807