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95106 = 23112131
BaseRepresentation
bin10111001110000010
311211110110
4113032002
511020411
62012150
7544164
oct271602
9154413
1095106
1165500
1247056
133439b
1426934
151d2a6
hex17382

95106 has 24 divisors (see below), whose sum is σ = 210672. Its totient is φ = 28600.

The previous prime is 95101. The next prime is 95107. The reversal of 95106 is 60159.

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 95106.

It is not an unprimeable number, because it can be changed into a prime (95101) by changing a digit.

95106 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 661 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (8778).

295106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105336).

95106 is an abundant number, since it is smaller than the sum of its proper divisors (115566).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

95106 is a wasteful number, since it uses less digits than its factorization.

95106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 95106 is about 308.3926069153. The cubic root of 95106 is about 45.6459908416.

It can be divided in two parts, 9 and 5106, that multiplied together give a palindrome (45954).

The spelling of 95106 in words is "ninety-five thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 66 121 131 242 262 363 393 726 786 1441 2882 4323 8646 15851 31702 47553 95106