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105643134 = 232173131103
BaseRepresentation
bin1100100101111…
…11110001111110
321100210020010200
412102333301332
5204021040014
614252144330
72421644322
oct622776176
9240706120
10105643134
11546a6283
122b4680a6
1318b6b23c
141005d982
15941ba09
hex64bfc7e

105643134 has 48 divisors (see below), whose sum is σ = 243352512. Its totient is φ = 33007104.

The previous prime is 105643067. The next prime is 105643141. The reversal of 105643134 is 431346501.

105643134 is a `hidden beast` number, since 1 + 0 + 5 + 643 + 13 + 4 = 666.

It is a super-2 number, since 2×1056431342 = 22320943522683912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105643098 and 105643107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95227 + ... + 96329.

It is an arithmetic number, because the mean of its divisors is an integer number (5069844).

Almost surely, 2105643134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105643134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121676256).

105643134 is an abundant number, since it is smaller than the sum of its proper divisors (137709378).

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

105643134 is a wasteful number, since it uses less digits than its factorization.

105643134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 105643134 is about 10278.2845845014. The cubic root of 105643134 is about 472.7306474499.

Adding to 105643134 its reverse (431346501), we get a palindrome (536989635).

The spelling of 105643134 in words is "one hundred five million, six hundred forty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 313 626 939 1103 1878 2206 2817 3309 5321 5634 6618 9927 10642 15963 18751 19854 31926 37502 47889 56253 95778 112506 168759 337518 345239 690478 1035717 2071434 3107151 5869063 6214302 11738126 17607189 35214378 52821567 105643134