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105050484 = 223271137897
BaseRepresentation
bin1100100001011…
…11000101110100
321022200010011200
412100233011310
5203343103414
614231332500
72413625430
oct620570564
9238603150
10105050484
1154330a90
122b221130
13189c1566
14dd479c0
159351109
hex642f174

105050484 has 72 divisors (see below), whose sum is σ = 331076928. Its totient is φ = 27285120.

The previous prime is 105050483. The next prime is 105050551. The reversal of 105050484 is 484050501.

It is a super-2 number, since 2×1050504842 = 22071208377268512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105050483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16177 + ... + 21720.

Almost surely, 2105050484 is an apocalyptic number.

105050484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105050484 is an abundant number, since it is smaller than the sum of its proper divisors (226026444).

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

105050484 is a wasteful number, since it uses less digits than its factorization.

105050484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37925 (or 37920 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 105050484 is about 10249.4138368982. The cubic root of 105050484 is about 471.8449948262.

The spelling of 105050484 in words is "one hundred five million, fifty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 37897 75794 113691 151588 227382 265279 341073 416867 454764 530558 682146 795837 833734 1061116 1250601 1364292 1591674 1667468 2387511 2501202 2918069 3183348 3751803 4775022 5002404 5836138 7503606 8754207 9550044 11672276 15007212 17508414 26262621 35016828 52525242 105050484