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106963 is a prime number
BaseRepresentation
bin11010000111010011
312102201121
4122013103
511410323
62143111
7623563
oct320723
9172647
10106963
11733aa
1251a97
13398bc
1521a5d
hex1a1d3

106963 has 2 divisors, whose sum is σ = 106964. Its totient is φ = 106962.

The previous prime is 106961. The next prime is 106979. The reversal of 106963 is 369601.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 106963 - 21 = 106961 is a prime.

It is a super-2 number, since 2×1069632 = 22882166738, which contains 22 as substring.

Together with 106961, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (106961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53481 + 53482.

It is an arithmetic number, because the mean of its divisors is an integer number (53482).

2106963 is an apocalyptic number.

106963 is a deficient number, since it is larger than the sum of its proper divisors (1).

106963 is an equidigital number, since it uses as much as digits as its factorization.

106963 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 106963 is about 327.0519836356. The cubic root of 106963 is about 47.4691212049.

The spelling of 106963 in words is "one hundred six thousand, nine hundred sixty-three".