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99104 = 2519163
BaseRepresentation
bin11000001100100000
312000221112
4120030200
511132404
62042452
7561635
oct301440
9160845
1099104
1168505
1249428
1336155
142818c
151e56e
hex18320

99104 has 24 divisors (see below), whose sum is σ = 206640. Its totient is φ = 46656.

The previous prime is 99103. The next prime is 99109. The reversal of 99104 is 40199.

99104 is a Rhonda number in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 99104.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 527 + ... + 689.

It is an arithmetic number, because the mean of its divisors is an integer number (8610).

299104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103320).

99104 is an abundant number, since it is smaller than the sum of its proper divisors (107536).

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

99104 is a wasteful number, since it uses less digits than its factorization.

99104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 99104 is about 314.8078779192. The cubic root of 99104 is about 46.2768434383.

It can be divided in two parts, 99 and 104, that multiplied together give a triangular number (10296 = T143).

The spelling of 99104 in words is "ninety-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 152 163 304 326 608 652 1304 2608 3097 5216 6194 12388 24776 49552 99104