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105557 is a prime number
BaseRepresentation
bin11001110001010101
312100210112
4121301111
511334212
62132405
7616514
oct316125
9170715
10105557
1172341
1251105
133907a
142a67b
1521422
hex19c55

105557 has 2 divisors, whose sum is σ = 105558. Its totient is φ = 105556.

The previous prime is 105541. The next prime is 105563. The reversal of 105557 is 755501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96721 + 8836 = 311^2 + 94^2 .

It is a cyclic number.

It is not a de Polignac number, because 105557 - 24 = 105541 is a prime.

It is a super-2 number, since 2×1055572 = 22284560498, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52778 + 52779.

It is an arithmetic number, because the mean of its divisors is an integer number (52779).

2105557 is an apocalyptic number.

It is an amenable number.

105557 is a deficient number, since it is larger than the sum of its proper divisors (1).

105557 is an equidigital number, since it uses as much as digits as its factorization.

105557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 875, while the sum is 23.

The square root of 105557 is about 324.8953677725. The cubic root of 105557 is about 47.2602135382.

It can be divided in two parts, 105 and 557, that multiplied together give a palindrome (58485).

The spelling of 105557 in words is "one hundred five thousand, five hundred fifty-seven".