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105534 = 232111341
BaseRepresentation
bin11001110000111110
312100202200
4121300332
511334114
62132330
7616452
oct316076
9170680
10105534
1172320
12510a6
1339060
142a662
1521409
hex19c3e

105534 has 48 divisors (see below), whose sum is σ = 275184. Its totient is φ = 28800.

The previous prime is 105533. The next prime is 105541. The reversal of 105534 is 435501.

It is a super-2 number, since 2×1055342 = 22274850312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2554 + ... + 2594.

It is an arithmetic number, because the mean of its divisors is an integer number (5733).

2105534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592).

105534 is an abundant number, since it is smaller than the sum of its proper divisors (169650).

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

105534 is a wasteful number, since it uses less digits than its factorization.

105534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 105534 is about 324.8599698332. The cubic root of 105534 is about 47.2567807519.

It can be divided in two parts, 1055 and 34, that added together give a square (1089 = 332).

The spelling of 105534 in words is "one hundred five thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 41 66 78 82 99 117 123 143 198 234 246 286 369 429 451 533 738 858 902 1066 1287 1353 1599 2574 2706 3198 4059 4797 5863 8118 9594 11726 17589 35178 52767 105534