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105426656 = 2517193799
BaseRepresentation
bin1100100100010…
…10111011100000
321100101020011222
412102022323200
5203442123111
614243354212
72420053226
oct622127340
9240336158
10105426656
1154568675
122b382968
1318ac384a
1410004b16
1593c77db
hex648aee0

105426656 has 24 divisors (see below), whose sum is σ = 219769200. Its totient is φ = 49612288.

The previous prime is 105426647. The next prime is 105426661. The reversal of 105426656 is 656624501.

It is a super-2 number, since 2×1054266562 = 22229559590684672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96356 + ... + 97443.

It is an arithmetic number, because the mean of its divisors is an integer number (9157050).

Almost surely, 2105426656 is an apocalyptic number.

105426656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105426656 is an abundant number, since it is smaller than the sum of its proper divisors (114342544).

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

105426656 is a wasteful number, since it uses less digits than its factorization.

105426656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193826 (or 193818 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 105426656 is about 10267.7483412869. The cubic root of 105426656 is about 472.4075289119.

The spelling of 105426656 in words is "one hundred five million, four hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 193799 387598 775196 1550392 3100784 3294583 6201568 6589166 13178332 26356664 52713328 105426656