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105530334 = 23713347557
BaseRepresentation
bin1100100101001…
…00001111011110
321100120111101220
412102210033132
5204003432314
614245514210
72420664420
oct622441736
9240514356
10105530334
1154629558
122b412966
1318b2bab0
1410030810
1593e83a9
hex64a43de

105530334 has 64 divisors (see below), whose sum is σ = 260983296. Its totient is φ = 27702144.

The previous prime is 105530323. The next prime is 105530363. The reversal of 105530334 is 433035501.

It is a happy number.

It is a super-2 number, since 2×1055303342 = 22273302788303112, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189184 + ... + 189740.

It is an arithmetic number, because the mean of its divisors is an integer number (4077864).

Almost surely, 2105530334 is an apocalyptic number.

105530334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105530334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130491648).

105530334 is an abundant number, since it is smaller than the sum of its proper divisors (155452962).

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

105530334 is a wasteful number, since it uses less digits than its factorization.

105530334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929.

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 105530334 is about 10272.7958219756. The cubic root of 105530334 is about 472.5623354953.

Adding to 105530334 its reverse (433035501), we get a palindrome (538565835).

The spelling of 105530334 in words is "one hundred five million, five hundred thirty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 347 546 557 694 1041 1114 1671 2082 2429 3342 3899 4511 4858 7241 7287 7798 9022 11697 13533 14482 14574 21723 23394 27066 31577 43446 50687 63154 94731 101374 152061 189462 193279 304122 386558 579837 1159674 1352953 2512627 2705906 4058859 5025254 7537881 8117718 15075762 17588389 35176778 52765167 105530334