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106361 = 314773
BaseRepresentation
bin11001111101111001
312101220022
4121331321
511400421
62140225
7622043
oct317571
9171808
10106361
1172a02
1251675
1339548
142aa93
15217ab
hex19f79

106361 has 8 divisors (see below), whose sum is σ = 113664. Its totient is φ = 99360.

The previous prime is 106357. The next prime is 106363. The reversal of 106361 is 163601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106361 - 22 = 106357 is a prime.

It is a super-2 number, since 2×1063612 = 22625324642, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106361.

It is not an unprimeable number, because it can be changed into a prime (106363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1421 + ... + 1493.

It is an arithmetic number, because the mean of its divisors is an integer number (14208).

2106361 is an apocalyptic number.

It is an amenable number.

106361 is a deficient number, since it is larger than the sum of its proper divisors (7303).

106361 is an equidigital number, since it uses as much as digits as its factorization.

106361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 106361 is about 326.1303420413. The cubic root of 106361 is about 47.3798997306.

Adding to 106361 its reverse (163601), we get a palindrome (269962).

The spelling of 106361 in words is "one hundred six thousand, three hundred sixty-one".

Divisors: 1 31 47 73 1457 2263 3431 106361