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105718452 = 22371936521
BaseRepresentation
bin1100100110100…
…10001010110100
321100221001110020
412103102022310
5204030442302
614253525140
72422410030
oct623221264
9240831406
10105718452
1154747924
122b4a37b0
1318b965c8
141007d1c0
159433ebc
hex64d22b4

105718452 has 48 divisors (see below), whose sum is σ = 283420032. Its totient is φ = 30044160.

The previous prime is 105718399. The next prime is 105718453. The reversal of 105718452 is 254817501.

It is a super-2 number, since 2×1057184522 = 22352782186552608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105718453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12952 + ... + 19472.

It is an arithmetic number, because the mean of its divisors is an integer number (5904584).

Almost surely, 2105718452 is an apocalyptic number.

105718452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105718452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141710016).

105718452 is an abundant number, since it is smaller than the sum of its proper divisors (177701580).

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

105718452 is a wasteful number, since it uses less digits than its factorization.

105718452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6728 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 105718452 is about 10281.9478699320. The cubic root of 105718452 is about 472.8429647941.

The spelling of 105718452 in words is "one hundred five million, seven hundred eighteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 193 386 579 772 1158 1351 2316 2702 4053 5404 6521 8106 13042 16212 19563 26084 39126 45647 78252 91294 136941 182588 273882 547764 1258553 2517106 3775659 5034212 7551318 8809871 15102636 17619742 26429613 35239484 52859226 105718452