Search a number
-
+
106747 is a prime number
BaseRepresentation
bin11010000011111011
312102102121
4122003323
511403442
62142111
7623134
oct320373
9172377
10106747
1173223
1251937
1339784
142ac8b
1521967
hex1a0fb

106747 has 2 divisors, whose sum is σ = 106748. Its totient is φ = 106746.

The previous prime is 106739. The next prime is 106751. The reversal of 106747 is 747601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106747 - 23 = 106739 is a prime.

It is a super-2 number, since 2×1067472 = 22789844018, which contains 22 as substring.

106747 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (106727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53373 + 53374.

It is an arithmetic number, because the mean of its divisors is an integer number (53374).

2106747 is an apocalyptic number.

106747 is a deficient number, since it is larger than the sum of its proper divisors (1).

106747 is an equidigital number, since it uses as much as digits as its factorization.

106747 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 106747 is about 326.7215940216. The cubic root of 106747 is about 47.4371467846.

The spelling of 106747 in words is "one hundred six thousand, seven hundred forty-seven".