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105977 is a prime number
BaseRepresentation
bin11001110111111001
312101101002
4121313321
511342402
62134345
7620654
oct316771
9171332
10105977
1172693
12513b5
1339311
142a89b
1521602
hex19df9

105977 has 2 divisors, whose sum is σ = 105978. Its totient is φ = 105976.

The previous prime is 105971. The next prime is 105983. The reversal of 105977 is 779501.

It is a balanced prime because it is at equal distance from previous prime (105971) and next prime (105983).

It can be written as a sum of positive squares in only one way, i.e., 90601 + 15376 = 301^2 + 124^2 .

It is a cyclic number.

It is not a de Polignac number, because 105977 - 26 = 105913 is a prime.

It is a super-2 number, since 2×1059772 = 22462249058, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52988 + 52989.

It is an arithmetic number, because the mean of its divisors is an integer number (52989).

2105977 is an apocalyptic number.

It is an amenable number.

105977 is a deficient number, since it is larger than the sum of its proper divisors (1).

105977 is an equidigital number, since it uses as much as digits as its factorization.

105977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2205, while the sum is 29.

The square root of 105977 is about 325.5410880365. The cubic root of 105977 is about 47.3228116974.

The spelling of 105977 in words is "one hundred five thousand, nine hundred seventy-seven".