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99108 = 22322753
BaseRepresentation
bin11000001100100100
312000221200
4120030210
511132413
62042500
7561642
oct301444
9160850
1099108
1168509
1249430
1336159
1428192
151e573
hex18324

99108 has 18 divisors (see below), whose sum is σ = 250614. Its totient is φ = 33024.

The previous prime is 99103. The next prime is 99109. The reversal of 99108 is 80199.

It can be written as a sum of positive squares in only one way, i.e., 97344 + 1764 = 312^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 99108.

It is not an unprimeable number, because it can be changed into a prime (99103) by changing a digit.

99108 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 5 ways as a sum of consecutive naturals, for example, 1341 + ... + 1412.

It is an arithmetic number, because the mean of its divisors is an integer number (13923).

299108 is an apocalyptic number.

It is an amenable number.

99108 is an abundant number, since it is smaller than the sum of its proper divisors (151506).

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

99108 is a wasteful number, since it uses less digits than its factorization.

99108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 99108 is about 314.8142309363. The cubic root of 99108 is about 46.2774660330.

The spelling of 99108 in words is "ninety-nine thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 2753 5506 8259 11012 16518 24777 33036 49554 99108