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106961 is a prime number
BaseRepresentation
bin11010000111010001
312102201112
4122013101
511410321
62143105
7623561
oct320721
9172645
10106961
11733a8
1251a95
13398ba
1521a5b
hex1a1d1

106961 has 2 divisors, whose sum is σ = 106962. Its totient is φ = 106960.

The previous prime is 106957. The next prime is 106963. The reversal of 106961 is 169601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78400 + 28561 = 280^2 + 169^2 .

It is a cyclic number.

It is not a de Polignac number, because 106961 - 22 = 106957 is a prime.

It is a super-2 number, since 2×1069612 = 22881311042, which contains 22 as substring.

Together with 106963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53480 + 53481.

It is an arithmetic number, because the mean of its divisors is an integer number (53481).

2106961 is an apocalyptic number.

It is an amenable number.

106961 is a deficient number, since it is larger than the sum of its proper divisors (1).

106961 is an equidigital number, since it uses as much as digits as its factorization.

106961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 106961 is about 327.0489260034. The cubic root of 106961 is about 47.4688253430.

The spelling of 106961 in words is "one hundred six thousand, nine hundred sixty-one".