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105269058 = 23741587
BaseRepresentation
bin1100100011001…
…00011101000010
321100002020000000
412101210131002
5203422102213
614240140430
72415525606
oct621443502
9240066000
10105269058
1154470224
122b307716
1318a69bab
14dda3506
159395c73
hex6464742

105269058 has 64 divisors (see below), whose sum is σ = 243008640. Its totient is φ = 34175520.

The previous prime is 105269053. The next prime is 105269081. The reversal of 105269058 is 850962501.

It is a happy number.

It is a super-2 number, since 2×1052690582 = 22163149144414728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105269053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179041 + ... + 179627.

It is an arithmetic number, because the mean of its divisors is an integer number (3797010).

Almost surely, 2105269058 is an apocalyptic number.

105269058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105269058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121504320).

105269058 is an abundant number, since it is smaller than the sum of its proper divisors (137739582).

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

105269058 is an frugal number, since it uses more digits than its factorization.

105269058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 105269058 is about 10260.0710523856. The cubic root of 105269058 is about 472.1720172836.

The spelling of 105269058 in words is "one hundred five million, two hundred sixty-nine thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 587 729 738 1107 1174 1458 1761 2187 2214 3321 3522 4374 5283 6642 9963 10566 15849 19926 24067 29889 31698 47547 48134 59778 72201 89667 95094 142641 144402 179334 216603 285282 427923 433206 649809 855846 1283769 1299618 1949427 2567538 3898854 5848281 11696562 17544843 35089686 52634529 105269058